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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Fractions, Decimals and Percents
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Exercise 5 Page 239

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

D

Practice makes perfect
Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when we divide or multiply by a negative number, we must reverse the inequality sign.
2n-4>- 12
AddIneq

LHS+4>RHS+4

2n-4+4>- 12+4
AddTerms

Add terms

2n>- 8
DivIneq

.LHS /2.>.RHS /2.

2n/2>- 8/2
CancelCommonFac

Cancel out common factors

2n/2>- 8/2
SimpQuot

Simplify quotient

n>- 8/2
CalcQuot

Calculate quotient

n>- 4
The above tells us that all values of n that are greater than - 4 will satisfy the inequality. This corresponds to option D.
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arrow_right Try It p.236-237
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Try It 2 (Page 236)
Try It 3 (Page 236)
Try It 4 (Page 236)
Try It 5 (Page 237)
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Try It 8 (Page 237)
arrow_right Self-Assessment for Concept & Skills p.237
Self-Assessment for Concept & Skills 9 (Page 237)
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arrow_right Self-Assessment for Problem Solving p.238
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arrow_right Review & Refresh p.239
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