Question

solve for s.
3(57.5s - 35.03) ≤ -39.42 + 2(87.1s + 2.1)
write your answer with s first, followed by an inequality symbol.

Explanation:

Step1: Expand both sides

First, expand $3(57.5s - 35.03)$ and $2(87.1s + 2.1)$.
$3\times57.5s-3\times35.03\leq - 39.42+2\times87.1s + 2\times2.1$
$172.5s-105.09\leq - 39.42 + 174.2s+4.2$

Step2: Combine like - terms

Combine the constant terms on the right - hand side:
$172.5s-105.09\leq174.2s - 35.22$

Step3: Move terms with s to one side

Subtract $172.5s$ from both sides:
$172.5s-172.5s - 105.09\leq174.2s-172.5s - 35.22$
$-105.09\leq1.7s - 35.22$

Step4: Isolate s

Add 35.22 to both sides:
$-105.09 + 35.22\leq1.7s-35.22 + 35.22$
$-69.87\leq1.7s$

Step5: Solve for s

Divide both sides by 1.7:
$\frac{-69.87}{1.7}\leq\frac{1.7s}{1.7}$
$s\geq - 41.1$

Answer:

$s\geq - 41.1$