Question

Which test point holds true for the inequality z – 21 > 12? Where does the shaded area lie for this inequality?

a. z > 33; shaded area lies to the right.
b. z < 9; shaded area lies to the left.
c. z > 9; shaded area lies to the right.
d. z < 33; shaded area lies to the left.

Answer 1

The correct test point that holds true for the inequality z - 21 > 12 is z > 33, and the shaded area lies to the right.

Step-by-step explanation:

To determine which test point holds true for the inequality z – 21 > 12, we need to solve the inequality and examine the sign of z in relation to the solution.

First, we add 21 to both sides of the inequality: z – 21 + 21 > 12 + 21. This simplifies to z > 33.

The shaded area lies to the right of the inequality. Therefore, the correct answer is (a) z > 33; shaded area lies to the right.