Question

which number line shows the solution to the inequality? 4x + 4 ≤ 12

Explanation:

Step1: Isolate the variable term

Subtract 4 from both sides of the inequality $4x + 4\leq12$. We get $4x+4 - 4\leq12 - 4$, which simplifies to $4x\leq8$.

Step2: Solve for x

Divide both sides of the inequality $4x\leq8$ by 4. So, $\frac{4x}{4}\leq\frac{8}{4}$, and $x\leq2$.
On a number - line, this is represented by a closed circle at 2 (because the inequality includes equality, $\leq$) and an arrow pointing to the left.

Answer:

The number - line with a closed circle at 2 and an arrow pointing to the left shows the solution to the inequality.