19. What is the solution set for -4x+10geqslant 5x+55

To solve the inequality , we need to isolate the variable on one side of the inequality.Step 1: Subtract from both sides of the inequality: Step 2: Subtract 10 from both sides of the inequality: Step 3: Divide both sides of the inequality by -9. Remember that when dividing or multiplying an inequality by a negative number, the direction of the inequality sign must be reversed: Therefore, the solution set for the inequality is .