Question

solve the inequality and graph the solution
-2x _>8on a number line
do it step by step

Answer 1

You likely mean the inequality: -2x ≥ 8. Solve step by step.

1. Start with: -2x ≥ 8
2. Divide both sides by -2. Because you divide by a negative number, reverse the inequality sign:
x ≤ 8 ÷ (−2) → x ≤ −4

(Alternatively: multiply both sides by −1 to get 2x ≤ −8, then divide by 2 to get x ≤ −4.)

Solution in interval notation: (−∞, −4]

Graph on a number line: a closed dot at −4 with the line shaded to the left.

ASCII sketch:
... ←––––––––––––●–––––––––––––→
-6 -5 -4 -3 -2 -1 0

Check: pick x = −5 → −2(−5)=10 ≥ 8 (true). Pick x = 0 → 0 ≥ 8 (false).