Question

Solve for x.

18 > 2x + 4 ≥ 4

(1 point)
Responses

14 < x ≤ 4
14 < x ≤ 4

7 > x > 8
7 > x > 8

7 > x ≥ 12
7 > x ≥ 12

7 > x ≥ 4
7 > x ≥ 4

7 > x ≥ 0

Answer 1

To solve for x, we need to consider the given inequalities separately.

First, let's solve the left inequality: 18 > 2x + 4.

Subtract 4 from both sides of the inequality:
18 - 4 > 2x
14 > 2x

Divide both sides of the inequality by 2:
14/2 > x
7 > x

So, the left inequality can be written as x < 7.

Next, let's solve the right inequality: 2x + 4 ≥ 4.

Subtract 4 from both sides of the inequality:
2x ≥ 0

Divide both sides of the inequality by 2:
x ≥ 0

So, the right inequality can be written as x ≥ 0.

Combining the results from both inequalities, we have:

x < 7 and x ≥ 0

Therefore, the solution for x is 0 ≤ x < 7.

The correct answer is 7 > x ≥ 0.