Question

Which values of z make the inequality 3z - 15 > -7 true?

a. z > 4
b. z < 4
c. z > -4
d. z < -4

Answer 1

Option A. To solve the inequality 3z - 15 > -7, you add 15 to both sides and then divide by 3, resulting in z > 8/3. Therefore, the answer is (a) z > 4, which means values greater than 4 for z satisfy the inequality.

Step-by-step explanation:

To solve the inequality 3z - 15 > -7, we need to isolate the variable z. The first step is to add 15 to both sides of the inequality, which gives us:

3z > 8

Next, we divide both sides by 3 to solve for z, yielding:

z > 8/3

Since 8/3 is approximately 2.67, the inequality z > 2.67 holds true. Comparing this result to the multiple-choice options, we can determine which values of z make the original inequality true.

The answer is (a) z > 4, as values greater than 4 will satisfy the inequality 3z - 15 > -7.