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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 42 Page 190

Isolate n by first utilizing the Distributive Property.

n≥1

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 4 on the left-hand side and 2 on the right-hand side, then simplify the terms to isolate n.

4(3n-1)≥ 2(n+3)

Distr

Distribute 4

12n-4≥ 2(n+3)

Distr

Distribute 2

12n-4≥ 2n+6

AddIneq

LHS+4≥RHS+4

12n≥ 2n+10

SubIneq

LHS-2n≥RHS-2n