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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 14 Page 190

Begin by isolating j.

j≥- 1.5

Practice makes perfect

Let's isolate j to solve the inequality.

6≤12+4j

LHS-12≤RHS-12

-6≤4j

.LHS /4.≤.RHS /4.

-1.5≤ j

Rearrange inequality

j≥-1.5

The solution j≥-1.5 means that any number greater than or equal to -1.5 will satisfy the inequality.

Checking Our Answer

Checking Our Answer

Let's check our answer with a few arbitrary values.

j	6≤ 12+4j	Simplify	True or False?
- 2	6? ≤12+4( - 2)	6≰ 4	False
- 1.5	6? ≤12+4( - 1.5)	6≤ 6	True
0	6? ≤12+4( 0)	6≤ 12	True

Since the test values greater than or equal to - 1.5 make the inequality true, this provides evidence that our inequality is correct.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192