Question

which number line shows the solution to the inequality -x + 6 ≤ 3?

Explanation:

Step1: Isolate the variable term

Subtract 6 from both sides of the inequality $-x + 6\leq3$. We get $-x+6 - 6\leq3 - 6$, which simplifies to $-x\leq - 3$.

Step2: Solve for x

Multiply both sides of the inequality $-x\leq - 3$ by - 1. Remember to reverse the inequality sign when multiplying by a negative number. So we have $x\geq3$.

Answer:

C. A number - line with a closed circle at 3 and shading to the right.