Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try thi try this video for extra example 2 - checking solutions tell whether 3 is a solution of each inequality. 4) $x - 7 > -5$; $x = 3$ 5) $-3x leq -12.5$; $x = 3$

Explanation:

Step1: Substitute x=3 into inequality 4

$3 - 7 > -5$

Step2: Simplify left side of inequality 4

$-4 > -5$

Step3: Verify truth of inequality 4

$-4$ is greater than $-5$, so the statement is true.

Step4: Substitute x=3 into inequality 5

$-3(3) \leq -12.5$

Step5: Simplify left side of inequality 5

$-9 \leq -12.5$

Step6: Verify truth of inequality 5

$-9$ is not less than or equal to $-12.5$, so the statement is false.

Answer:

1. Yes, 3 is a solution of $x - 7 > -5$
2. No, 3 is not a solution of $-3x \leq -12.5$