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Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Solving Inequalities Using Addition or Subtraction
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Exercise 19 Page 65

What can you do to isolate a variable in an inequality?

Solution Set: p ≤ 17
Graph:

Practice makes perfect

Inequalities can be solved in the same way as equations, by using the Addition and Subtraction Properties of Inequality to perform inverse operations on both sides until the variable is isolated.

10 ≥ 3p-2p-7
SubTerm

Subtract term

10 ≥ p-7
AddIneq

LHS+7≥RHS+7

17 ≥ p
RearrangeIneq

Rearrange inequality

p ≤ 17

This inequality tells us that all values less than or equal to 17 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that p can equal 17, which we show with a closed dot on the number line.

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arrow_right Communicate Your Answer p.61
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Communicate Your Answer 4 (Page 61)
arrow_right Monitoring Progress p.62-64
Monitoring Progress 1 (Page 62)
Monitoring Progress 2 (Page 62)
Monitoring Progress 3 (Page 62)
Monitoring Progress 4 (Page 63)
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Monitoring Progress 7 (Page 64)
arrow_right Exercises p.65-66
Exercises 1 (Page 65)
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