Q. Solve for d.17≥d+10≥−6Write your answer as a compound inequality with integers.Choices:(A)7≥d≥−16(B)7≥d≥4(C)27≥d≥4(D)27≥d≥−16
Analyze Inequality: Analyze the given compound inequality 17≥d+10≥−6. Which operation should we use to isolate d? In d+10, 10 is being added to d. Subtraction should be used to isolate d.
Use Subtraction to Isolate: Subtract 10 from all parts of the inequality to isolate d. 17≥d+10≥−617−10≥d+10−10≥−6−107≥d≥−16
Subtract 10 to Isolate: Check the solution to ensure it makes sense.If d is replaced with a number between 7 and −16, the original inequality should hold true. Let's test with d=0.17≥0+10≥−617≥10≥−6 which is true.The solution seems correct.