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Solving One-Step Inequalities by Adding or Subtracting

Solving One-Step Inequalities by Adding or Subtracting. PRE-ALGEBRA LESSON 2-9. (For help, go to Lesson 2-5.). Bell Work #12. Solve each equation. 1. m + 7 = 5 2. k – 8 = 11 3. 12 + h = 21 4. 6 = n – 23. Check Skills You’ll Need. 2-9. Solutions 1. 2.

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Solving One-Step Inequalities by Adding or Subtracting

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  1. Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 (For help, go to Lesson 2-5.) Bell Work #12 Solve each equation. 1.m + 7 = 5 2.k – 8 = 11 3. 12 + h = 21 4. 6 = n – 23 Check Skills You’ll Need 2-9

  2. Solutions 1.2. m + 7 – 7 = 5 – 7 k – 8 + 8 = 11 + 8 3.4. 12 – 12 + h = 21 – 12 k – 8 = 11 m + 7 = 5 m = – 2 k = 19 12 + h = 21 6 = n – 23 6 + 23 = n – 23 + 23 h = 9 29 = n Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 2-9

  3. Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 Key Concepts Subtraction Property of Inequality You can subtract the same number from each side of an inequality Arithmetic Algebra c 3 If a > b, then a – c > b - ___ 7 > 4, so 7 – 3 > 4 - ___ c 6 < 9, so 6 – 2 < 9 - ___ 2 If a < b, then a – c < b - ___ 2-9

  4. Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 Key Concepts Addition Property of Inequality You can add the same number from each side of an inequality Arithmetic Algebra c 4 If a > b, then a + c > b + ___ 7 > 3, so 7 + 4 > 3 - ___ c 2 < 5, so 2 + 6 < 5 + ___ 6 If a < b, then a + c < b + ___ 2-9

  5. < – > > > > – – – – –16 y – 14 –16 y – 14 –16 + 14y – 14 + 14Add 14 to each side. –2 y or y –2 Simplify. Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 Solve each inequality. Graph the solutions. a. 4 + s < 12 4 + s < 12 4 + s– 4 < 12 – 4Subtract 4 from each side. s < 8 Simplify. b. Quick Check 2-9

  6. < < < < – – – – storage space for our files storage space left total space is less than  or equal to Words plus Let s = storage space available. Inequality 2 + s 6 2 + s 6 2 – 2 + s 6 – 2 Subtract 2 from each side. s 4 Simplify. Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 You have 6 GB on your computer. The files you have stored on the hard drive occupy at least 2 GB. How much storage space is left for other files? Quick Check No more than 4 GB are left. 2-9

  7. Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 Solve –10 < –13 + q. –10 < –13 + q –10 + 13 < –13 + 13 + qAdd 13 to each side. 3 < qSimplify. Quick Check 2-9

  8. < < < – – – > > – – Solve each inequality. 1.e + 4 14 2. –22 g – 6 3. A number q plus the opposite of 5 is less than or equal to 0. e 10 –16 g q 5 Solving One-Step Inequalities by Adding or Subtracting PRE-ALGEBRA LESSON 2-9 2-9

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