Question

17 + 2x - 3x ≥ 19

Explanation:

Step1: Combine like - terms

$17+(2x - 3x)\geq19$ simplifies to $17 - x\geq19$.

Step2: Isolate the variable term

Subtract 17 from both sides: $17 - x-17\geq19 - 17$, which gives $-x\geq2$.

Step3: Solve for x

Multiply both sides by - 1. When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we get $x\leq - 2$.

Answer:

The second number line (the one with a closed - circle at - 2 and the line extending to the left) represents the solution $x\leq - 2$.