Question

solve the following inequality for $h$. write your answer in simplest form.
$6h + 4 \leq -2h + 5$

Explanation:

Step1: Add $2h$ to both sides

$6h + 4 + 2h \leq -2h + 5 + 2h$
$8h + 4 \leq 5$

Step2: Subtract 4 from both sides

$8h + 4 - 4 \leq 5 - 4$
$8h \leq 1$

Step3: Divide by 8 on both sides

$\frac{8h}{8} \leq \frac{1}{8}$
$h \leq \frac{1}{8}$

Answer:

$h \leq \frac{1}{8}$