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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
4. Writing and Graphing Inequalities
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Exercise 32 Page 150

Substitute - 4 into the given inequality and then simplify.

Yes.

Practice makes perfect
We can determine whether - 4 is a solution by substituting it into the inequality and simplifying.
3/4b - 2 ≤ 2b + 8
Substitute

b= - 4

3/4( - 4) - 2 ? ≤ 2( - 4) + 8
MoveRightFacToNum

a/c* b = a* b/c

3* (- 4)/4 - 2 ? ≤ 2(- 4) + 8
MultPosNeg

a(- b)=- a * b

- 12/4 - 2 ? ≤- 8 + 8
CalcQuot

Calculate quotient

- 3 - 2 ? ≤ - 8 + 8
SubTerm

Subtract term

- 5 ? ≤ - 8 + 8
AddTerms

Add terms

- 5 ≤ 0 ✓
Since - 5 is less than 0, - 4 is a solution.
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arrow_right Try It p.146-147
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Try It 2 (Page 146)
Try It 3 (Page 147)
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arrow_right Self-Assessment for Concept & Skills p.147
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arrow_right Self-Assessment for Problem Solving p.148
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arrow_right Review & Refresh p.149
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arrow_right Concept, Skills, & Problem Solving p.149-150
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