Question

1. which graph represents the solution to $\frac{4x - 8}{3}leq2x - 5$? a. b. c. d.

Explanation:

Step1: Solve the inequality

First, start with $\frac{4x - 8}{3}\leq2x-5$. Multiply both sides by 3 to get $4x - 8\leq3(2x - 5)$.
$4x - 8\leq6x-15$.

Step2: Rearrange terms

Subtract $4x$ from both sides: $- 8\leq6x - 4x-15$, which simplifies to $-8\leq2x - 15$.
Then add 15 to both sides: $-8 + 15\leq2x$, so $7\leq2x$.

Step3: Solve for x

Divide both sides by 2: $x\geq\frac{7}{2}=3.5$.
On a number - line, this is represented by a closed circle at 3.5 (because the inequality is $\geq$) and an arrow pointing to the right.

Answer:

A.