Question

solve and graph the solution for this inequality.

−3x+5≤23
solve step by step

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality −3x + 5 ≤ 23, follow these steps:

Step 1: Subtract 5 from both sides of the inequality to isolate the variable:
−3x + 5 - 5 ≤ 23 - 5
−3x ≤ 18

Step 2: Divide both sides of the inequality by -3 to solve for x. Note: When dividing or multiplying both sides by a negative number, the inequality sign needs to be flipped:
(−3x)/(-3) ≥ 18/(-3)
x ≥ -6

Thus, the solution to the inequality is x ≥ -6.

To graph this solution on a number line, start by drawing a number line and marking a point at -6. Since x is greater than or equal to -6, you will fill in a closed circle at -6. Then, draw an arrow extending to the right to represent all the numbers greater than -6.