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Cengage Maths Solutions Class 11 Linear Inequalities Algebra

Cengage Maths Solutions Class 11 Linear Inequalities PDfs provides accurate solutions to practice before your final exam. Students can study this comprehensive Cengage Maths PDf Solutions on Linear Inequalities and its various sub-topics for effective exam preparation. The Cengage Class 11 PDF solutions help the student to swiftly practice and revise the important concepts just before the annual exam to score high marks in maths. <br>For more such video solutions/Pdf solution, visit https://doubtnut.com and clear your doubt instantly.<br>

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Cengage Maths Solutions Class 11 Linear Inequalities Algebra

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  1. CENGAGE / G TEWANI MATHS SOLUTIONS CHAPTER LINEAR INEQUALITIES || ALGEBRA  Download Doubtnut Today Ques No. Question CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 1 Solve x2− x − 2 > 0.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 2 Solve x2− x − 1 < 0.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 3 Solve (x − 1)(x − 2)(1 − 2x) > 0.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 4 Solve (2x + 1)(x − 3)(x + 7) < 0.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 2 5 Solve < 3. x  Watch Free Video Solution on Doubtnut

  2. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method OfCENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 2x − 3 6 Solve ≥ 3. 3x − 5  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals x − 2 2x − 3 7 Solve > . x + 2 4x − 1  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 8 Solve x > √(1 − x).  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 9 Solve √(x − 5) − √9 − x > 1,x ∈ Z.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals Solve 2 1 2x − 1 10 − − ≥ 0 x2− x + 1 x3+ 1 x + 1 .

  3.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals Solve x(x + 2)2(x − 1)5(2x − 3)(x − 3)4 11 ≥ 0.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 12 x(2x− 1)(3x− 9)5(x − 3) < 0. Solve  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals x2−x−7< −5. 13 Solve (x2− x − 1)  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals Let (x − a)(x − 2a)(x − a2) < 0, be a constant. If there are just 18 positive integers satisfying the inequality then find the value of a > 2 14 a.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of

  4. Intervals Find the set of all possible real value of a such that the inequality holds for all (x − (a − 1))(x − (a2+ 2)) < 0 15 x ∈ ( − 1,3).  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals x2+ 1 16 Find all possible values of . x2− 2  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 17 Solve √x − 2 ≥ − 1.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals 18 Solve √x − 1 > √3 − x.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of Intervals Solve . 19 x +√x ≥√x − 3  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Generalized Method Of

  5. Intervals 20 Solve (x2− 4)√x2− 1 < 0.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X If a, b, and c are nonzero rational numbers, then find the sum of all the possible |a| |b| |c| 21 values of . + + a b c  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve the following : (ii) x2− |x| − 2 = 0 |x| = 5 22  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Find the values of for which eht equation real solutions. can have four distinct ||x − 2| + a| = 4 a 23  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X 1 Find the value of for which following expressions are defined: x (ii) √x − |x| 24 1 √x + |x|  Watch Free Video Solution on Doubtnut

  6. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of XCENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X 25 2|x + 1|2− |x + 1| = 3 Solve the following: (ii) |x − 2| = 1  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve 1 − x = √x2− 2x + 1. 26  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |3x − 2| = x. 27  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |x| = x2− 1. 28  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve √x + 3 − 4√x − 1 29 + √x + 8 − 6√x − 1 = 1  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X

  7. Prove that √x2+ 2x + 1 −√x2− 2x + 1 30 = { − 2,x < − 12x, − 1 ≤ x ≤ 12, x > 1  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X For find all possible values of (ii) x ∈ R, |x − 3| − 2 4 − |2x + 3| 31  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Find the possible values of (ii) (iii) √4 −√x2 √|x| − 2 √3 − |x − 1| 32  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |x − 3| + |x − 2| = 1. 33  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve x2− 4|x| + 3 < 0. 34  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve 0 < |x| < 2. 35  Watch Free Video Solution on Doubtnut

  8. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of XCENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |3x − 2| < 4. 36  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve 1 ≤ |x − 2| ≤ 3. 37  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve 0 < |x − 3| ≤ 5. 38  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve ||x − 1| − 2| < 5. 39  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |x − 3| ≥ 2. 40  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve ||x| − 3| > 1. 41  Watch Free Video Solution on Doubtnut

  9. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of XCENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |x − 1| + |x − 2| ≥ 4. 42  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |x + 1| + |2x − 3| = 4. 43  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |x| + |x − 2| = 2. 44  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |2x − 3| + |x − 1| = |x − 2|. 45  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve ∣∣x2+ x − 4∣∣=∣∣x2− 4∣∣+ |x|. 46  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X If |sinx + cosx| = |sinx| 47 + |cosx|(sinx, cosx ≠ 0) , then in which quadrant does lies? x

  10.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Is values of true for any If it is true, then find the |tanx + cotx| < |tanx| + |cotx| x? 48 x.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X x − 3 ∣∣∣ ∣∣∣≤ 1. Solve 49 x + 1  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X (x + 1)2 x + 1 ∣∣∣ ∣∣∣+ |x + 1| = Solve 50 . |x| x  Watch Free Video Solution on Doubtnut

  11. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of XCENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X 3 ∣∣∣1 + ∣∣∣> 2 Solve 51 x  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve ∣∣x2− 2x∣∣+ |x − 4| >∣∣x2− 3x + 4∣∣. 52  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve |2x− 1| + |4 − 2x| < 3. 53  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X 1 x Solve ≤ x + 2 54 |x|  Watch Free Video Solution on Doubtnut

  12. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of XCENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X |x+2| 1 2− |x | Solve ( ) 55 > 9. 3  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Inequalities (5x − 1) < (x + 1)2< (7x − 3). Find all integers for which 56 x  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Functions If f(x) = x9− 6x8− 2x7+ 12x6+ x4 57 − 7x3+ 6x2+ x − 3, f(6). find  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Inequalities y = √(x + 1)(x − 3) (x − 2) Let . Find all the real values of for which takes real x y 58 values.  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Inequalities Find all real values of which satisfy x2− 3x + 2 > 0andx2− 2x − 4 ≤ 0 x 59 .  Watch Free Video Solution on Doubtnut

  13. CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Inequalities 2x 1 Find the set of all foir which > x 60 . (2x2+ 5x + 2) (x + 1)  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X Solve ∣∣x2+ 4x + 3∣∣+ 2x + 5 = 0. 61  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X |x − 2|2+ |x − 2| − 2 = 0is The sum of real roots of the equation 2 a. 4 b. 1 c. 2 d. 62  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Inequalities The largest interval for which x12− x9+ x4− x + 1 > 0 63  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X If x ≤ − 2 or ≥ 4 satifies then (a) (b). |x − 1| + |x − 2| + |x − 3| ≥ 6, x ≤ 0 or x ≥ 4 0 ≤ x ≤ 4 x 64 (c). (d). None of these  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Absolute Value Of X The set of all real numbers for which is b. x2− |x + 2| + x > 0 ( − ∞, − 2) x

  14. 65 c. d. ( − ∞, − √2) ∪ (√2, ∞) ( − ∞, − 1) ∪ (1, ∞) (√2,∞)  Watch Free Video Solution on Doubtnut CENGAGE_MATHS_ALGEBRA_LINEAR INEQUALITIES_Intervals 2x − 1 3 If S is the set of all real such that is positive b. ( − ∞, − ) x 2x3+ 3x2+ x 2 66 3 1 1 1 1 c. d. e. None of these ( − ) ( − ) ( ,3) , , 2 4 4 2 2  Watch Free Video Solution on Doubtnut  Download Doubtnut to Ask Any Math Question By just a click  Get A Video Solution For Free in Seconds  Doubtnut Has More Than 1 Lakh Video Solutions  Free Video Solutions of NCERT, RD Sharma, RS Aggarwal, Cengage (G.Tewani), Resonance DPP, Allen, Bansal, FIITJEE, Akash, Narayana, VidyaMandir  Download Doubtnut Today

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