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6.2 Multistep Inequalities

6.2 Multistep Inequalities. Objectives: State and apply the Multiplication and Division Properties of Inequality. Solve multistep inequalities in one variable. Standards Addressed: 2.8.8.C: Create and interpret inequalities that model problem situations.

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6.2 Multistep Inequalities

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  1. 6.2 Multistep Inequalities Objectives: State and apply the Multiplication and Division Properties of Inequality. Solve multistep inequalities in one variable. Standards Addressed: 2.8.8.C: Create and interpret inequalities that model problem situations. 2.8.8.E: Select and use a strategy to solve an inequality and check the solution.

  2. Ex. 4 Solve each inequality. • a. 2m + 7(m – 1) >26 2m + 7m – 7 > 26 9m – 7 > 26 9m > 33 m > 33/9 = 11/3 • b.3p + 2 < 7p – 5 -4p + 2 < -5 -4p < -7 p > 7/4

  3. Ex. 5 a. Eastern Cellular offers two monthly phone plans. For what range of minutes would it cost less to use plan 1?Plan 1: $25 plus 50 cents per minute Plan 2: 70 cents per minute • Plan 1  25 + .50m • Plan 2  .70m • 25 + .50m < .70 m -.20m < -25 m > 125 Plan 1 will cost less when the phone is used for more than 125 minutes per month!

  4. b. Jennifer, the manager of a fast-food restaurant, can choose one of two salary options. For what range of hours would option 2 pay more?Option 1: $2000 a month Option 2: $500 a month plus $10 per hour • Option 1  2000 • Option 2  500 + 10h • 500 + 10h > 2000 • 10h > 1500 • h > 150 • Option 2 pays more if Jen works more than 150 hours each month!

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