Solve and graph the solution for this inequality. −3x+5≤23. And explain 4 steps.
Step 1: Subtract 5 from both sides of the inequality to isolate the variable on one side:
−3x + 5 - 5 ≤ 23 - 5
−3x ≤ 18
Step 2: Divide both sides by -3 to solve for x and to maintain the inequality direction:
(-3x)/(-3) ≥ 18/(-3)
x ≥ -6
Step 3: The solution to the inequality is x ≥ -6.
Step 4: Graph the solution on a number line. Since the inequality is x ≥ -6, we include -6 on the number line and shade the region to the right of -6.