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5-2 Solving Linear Inequalities by multiplication and Division

5-2 Solving Linear Inequalities by multiplication and Division. Goals: Solve linear inequalities using multiplication and division Use inequalities to solve real life problems. Eligible Content: A1.1.3.1.2 / A1.1.3.1.3. Solving a Linear Inequality.

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5-2 Solving Linear Inequalities by multiplication and Division

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  1. 5-2 Solving Linear Inequalities by multiplication and Division Goals: Solve linear inequalities using multiplication and division Use inequalities to solve real life problems. Eligible Content: A1.1.3.1.2 / A1.1.3.1.3

  2. Solving a Linear Inequality • Get the variable alone just like we have been doing. • One new rule: • If you multiply or divide by a negative number, you must flip the inequality symbol. > becomes < < becomes >

  3. Solve the inequality (same as before) 3x ≥ 15 3 3 x ≥ 5

  4. Solve the Inequality(new rule) Sign flipped because I divided by a negative number!! -4x < 16 -4 -4 x > -4 -10x ≥ -50 -10 -10 x ≤ 5 Sign flipped because I divided by a negative number!!

  5. Examples Solve each linear inequality: • 6x ≤ -12 • -3x > 12 • 4x < -20 x ≤ -2 x < -4 x < -5 x ≤ -64

  6. Solve 15p < 60. A.p< 4 B.p< 45 C.p< 75 D.p> 4

  7. Solve –4z > 64. A.z< 16 B.z< –16 C.z> –16 D.z> 16

  8. A. B. C.x < –30 D.x > –30

  9. Practice • Page 295 #2-9

  10. Word Problem #1 Mateo is walking at a rate of 0.75 mile per hour. He knows that it is at least 9 miles to Onyx Lake. How long will it take Mateo to get there? 0.75x ≥ 9 x ≥ 12 At least 12 hours

  11. Word Problem #2 At Midpark High School, of the junior class attended the dance. There were at least 200 juniors at the dance. How many students are in the junior class? x ≥ 200 x ≥ 300 At least 300 students

  12. Homework • Page 295 #12-28 even #30-34

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