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 11 Page 190

Begin by isolating y on the left-hand side.

y>-2

Practice makes perfect
Let's isolate y to solve the inequality.
-5y-2<8
-5y<10
y>-2
The solution y>-2 means that any number greater than -2 will satisfy the inequality.

Checking Our Answer

Checking Our Answer
Let's check this by choosing an arbitrary value for y and plugging it into the original inequality. Let's choose 0 for y. We know that 0 > - 2, so we should expect a true result.
-5y-2<8
-5* 0-2 ? < 8
-2<8
This result is true. Our inequality is correct for this test value.