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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 31 Page 190

Isolate s by first utilizing the Distributive Property.

All real numbers.

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 simplify the terms to isolate s.

-2(6+s)≥-15-2s

Distr

Distribute -2

-12-2s≥-15-2s

AddIneq

LHS+2s≥RHS+2s

-12≥-15

MultNegIneq

Multiply by -1 and flip inequality sign

12≤15

Since 12 is always less than or equal to 15, the solutions are all real numbers.