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Solving Two-Step Inequalities

Solve each inequality. Graph the solutions. 1. w + 4 –5 2. 7 < z – 3 3. 4 > a + 6 4. x – 5 –6. <. >. Solving Two-Step Inequalities. PRE-ALGEBRA LESSON 7-6. (For help, go to Lesson 2-9.). Check Skills You’ll Need. 7-6. Solutions 1. w + 4 –5 2. 7 < z – 3

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Solving Two-Step Inequalities

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  1. Solve each inequality. Graph the solutions. 1.w + 4 –5 2. 7 < z – 3 3. 4 > a + 6 4.x – 5 –6 < > Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 (For help, go to Lesson 2-9.) Check Skills You’ll Need 7-6

  2. Solutions 1.w + 4 –5 2. 7 < z – 3 w + 4 – 4 –5 – 4 7 + 3 < z – 3 + 3 w –9 10 < z z > 10 < < < > > > 3. 4 > a + 6 4. x – 5 –6 4 – 6 > a + 6 – 6 x – 5 + 5 –6 + 5 –2 > a x –1 a < –2 Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 7-6

  3. 7g + 11 – 11 > 67 – 11 Subtract 11 from each side. 7g > 56 Simplify. 7g 7 56 7 > Divide each side by 7. g > 8 Simplify. Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 Solve and graph 7g + 11 > 67. 7g + 11 > 67 Quick Check 7-6

  4. < < < < < 2 3 6 – r – 6 > 2 3 6 + 6 – r – 6 + 6 Add 6 to each side. 2 3 12 – r Simplify. 3 2 3 2 3 2 2 3 – Multiply each side by . Reverse the direction of the inequality symbol. – (12) – – r > –18 r, or r –18 Simplify. Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 2 3 Solve 6 – r – 6. Quick Check 7-6

  5. < number of rides is less thanor equal to Words $1.50/ride $25 $4 admission + • r Let = number of rides Dale goes on. 1.5 r 25 Inequality 4 + • Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 Dale has $25 to spend at a carnival. If the admission to the carnival is $4 and the rides cost $1.50 each, what is the greatest number of rides Dale can go on? 7-6

  6. < < < < < 4 + 1.5r 25 Subtract 4 from each side. 4 + 1.5r– 4 25 – 4 Simplify. 1.5r 21 1.5r 1.5 21 1.5 Divide each side by 1.5. r 14 Simplify. Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 (continued) The greatest number of rides Dale can go on is 14. Quick Check 7-6

  7. < > m 15 Solving Two-Step Inequalities PRE-ALGEBRA LESSON 7-6 Solve each inequality. 1. -2m + 4 34 2. 5a - 9 > 11 a > 4 7-6

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