Question

What value of x is in the solution set of 9(2x + 1) < 9x – 18?

a) x = -3
b) x = 3
c) x = 0
d) x = 18

Answer 1

To find the value of x in the solution set of the inequality, we need to solve the inequality and determine its solution set. The value of x that satisfies the inequality is x = -3.

Step-by-step explanation:

To find the value of x that is in the solution set of the inequality 9(2x + 1) < 9x – 18, we need to solve the inequality.

Step 1: Distribute the 9 on the left side of the inequality: 18x + 9 < 9x – 18.

Step 2: Combine like terms: 18x - 9x < -18 - 9.

Step 3: Simplify: 9x < -27.

Step 4: Divide both sides of the inequality by 9: x < -3.

Therefore, the value of x that is in the solution set of the inequality is x = -3. So, the correct answer is (a) x = -3.