Question

solve the inequality. graph the solution.
$-3(w + 5) + 9 < -24$
what is the solution? select the correct choice below and fill in the answer box within your choice.
(type an integer or a decimal.)
a. $w\geq\square$
b. $w\leq\square$
c. $w>\square$
d. $w<\square$

Explanation:

Step1: Expand the left-hand side

$-3(w+5)+9 = -3w -15 +9$

Step2: Simplify the left-hand side

$-3w -15 +9 = -3w -6$

Step3: Isolate the variable term

$-3w -6 < -24 \implies -3w < -24 + 6$

Step4: Simplify the right-hand side

$-3w < -18$

Step5: Solve for $w$ (reverse inequality)

$\frac{-3w}{-3} > \frac{-18}{-3} \implies w > 6$

Answer:

C. $w>6$