Question

Which values from the set {-6, -4, -2, 0, 2, 4, 6} satisfy the inequality 3 + x < 24?

A) -6, -4, -2, 0, 2, 4
B) -4, -2, 0, 2, 4
C) 0, 2, 4
D) 2, 4

Answer 1

To solve the inequality 3 + x < 24, subtract 3 from both sides to isolate x. The values from the set that satisfy the inequality are 0, 2, 4.

Step-by-step explanation:

To solve the inequality 3 + x < 24, we need to isolate the variable x.

First, subtract 3 from both sides of the inequality: 3 + x - 3 < 24 - 3. This simplifies to x < 21.

Now, we compare the values from the set {-6, -4, -2, 0, 2, 4, 6} with the inequality.

Out of the given options, only option C) 0, 2, 4 satisfies the inequality x < 21. Therefore, the correct answer is C).