Question

solve the inequality and graph the solution. -6x + 2 ≥ 4(6 - x) choose the correct graph below

Explanation:

Step1: Solve the inequality

First, expand the right - hand side: $-6x + 2\geq4(6 - x)$ becomes $-6x+2\geq24 - 4x$.
Add $6x$ to both sides: $2\geq24 + 2x$.
Subtract 24 from both sides: $2-24\geq2x$, so $- 22\geq2x$.
Divide both sides by 2: $x\leq - 11$.

Step2: Analyze the graph

The solution $x\leq - 11$ is represented by a number line with a closed circle at $x = - 11$ (because the inequality is $\leq$) and an arrow pointing to the left.

Answer:

We cannot see the full labels of the graphs clearly, but the correct graph should have a closed - circle at $x=-11$ and an arrow pointing to the left. If we assume the graphs are labeled correctly with respect to the values on the number - line, we need to find the graph with a closed - circle at $-11$ and an arrow to the left.