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 12 Page 190

Begin by isolating p on the left-hand side.

p≤5

Practice makes perfect
Let's isolate p to solve the inequality.
6-3p≥-9
-3p≥-15
p≤5
The solution p≤5 means that any number less than or equal to 5 will satisfy the inequality.

Checking Our Answer

Checking Our Answer
Let's check this by choosing an arbitrary value for p and plugging it into the original inequality. Let's choose 1 for p. Since 1 is less than 5, we expect the result to be true.
6-3p≥-9
6 -3* 1 ? ≥ -9
6-3\stackrel{?}\geq\text{-}9
3≥-9
This result is true, so our inequality is correct for this test value.