Question

question
solve the following inequality for h. write your answer in simplest form.
3 + 5(8h - 3) ≤ 6h - 8 - 8h
answer attempt 1 out of 2
h < -

Explanation:

Step1: Expand left-hand side

$3 + 40h - 15 \leq 6h - 8 - 8h$

Step2: Simplify both sides

$40h - 12 \leq -2h - 8$

Step3: Add $2h$ to both sides

$40h + 2h - 12 \leq -8$
$42h - 12 \leq -8$

Step4: Add 12 to both sides

$42h \leq -8 + 12$
$42h \leq 4$

Step5: Divide by 42

$h \leq \frac{4}{42}$
$h \leq \frac{2}{21}$

Answer:

$h \leq \frac{2}{21}$