Question

solve it
this hanger represents the inequality ( 3(x + 4) geq 18 ).
what are the solutions to this inequality?
( 3(x + 4) geq 18 )

Explanation:

Step1: Divide both sides by 3

To isolate the term with \( x \), we divide both sides of the inequality \( 3(x + 4) \geq 18 \) by 3. Since 3 is positive, the direction of the inequality sign remains the same.
\[
\frac{3(x + 4)}{3} \geq \frac{18}{3}
\]
Simplifying both sides, we get:
\[
x + 4 \geq 6
\]

Step2: Subtract 4 from both sides

To solve for \( x \), we subtract 4 from both sides of the inequality \( x + 4 \geq 6 \).
\[
x + 4 - 4 \geq 6 - 4
\]
Simplifying both sides, we find:
\[
x \geq 2
\]

Answer:

\( x \geq 2 \)