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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 40 Page 190

Isolate t by first utilizing the Distributive Property.

t≤22/5

Practice makes perfect

We can solve inequalities in almost the same way as equations. The only difference is that we need to remember to flip the inequality sign when multiplying or dividing by a negative value. For this exercise, distribute -2 on the left-hand side and -3 on the right-hand side, then simplify the terms to isolate t.

-2(0.5-4t)≥-3(4-3.5t)

Distribute (-2)

-1+8t≥-3(4-3.5t)

Distribute (-3)

-1+8t≥-12+10.5t

LHS-8t≥RHS-8t

-1≥-12+2.5t

LHS+12≥RHS+12

11≥ 2.5t

LHS* 2 ≥ RHS * 2

22≥5t

.LHS /5.≥.RHS /5.

22/5≥ t

Rearrange inequality

t≤22/5

The solution to the inequality is t≤ 225.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192