Question

multiple answer 1 point solve and graph the following basic inequality: 4 (x - 5) ≤40 $x leq 15$ $x geq 15$ x<15 x>15

Explanation:

Step1: Expand the left - hand side

$4(x - 5)=4x-20$, so the inequality becomes $4x - 20\leq40$.

Step2: Add 20 to both sides

$4x-20 + 20\leq40 + 20$, which simplifies to $4x\leq60$.

Step3: Divide both sides by 4

$\frac{4x}{4}\leq\frac{60}{4}$, resulting in $x\leq15$.

The correct graph is a number - line with a closed circle at 15 (because the inequality is $\leq$) and the line extending to the left.

Answer:

$x\leq15$; The graph is the first number - line option (the one with the arrow extending to the left from 15 and a closed circle at 15).