Question

solve the inequality. graph the solution
$-3(w + 5) + 9 < -24$
choose the correct graph below
$\bigcirc$ a.
$\bigcirc$ b.
$\bigcirc$ c.
$\bigcirc$ d.
$\bigcirc$ e.
$\bigcirc$ f.
$\bigcirc$ g.
$\bigcirc$ h.
help me solve this view an example get more help

Explanation:

Step1: Expand the left side

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

Step2: Simplify the left side

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

Step3: Isolate the variable term

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

Step4: Simplify the right side

$-3w < -18$

Step5: Divide by -3, reverse inequality

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

Answer:

H. <the number line graph with an open circle at 6 and an arrow pointing right to positive infinity>