Solve the inequality.

Question

22 − 2 x <38
Which inequality represents the solutions to this inequality?
Responses
X > −16

X > −8

X > 8

X > 16

Answer 1

To solve the inequality \( 22 - 2x < 38 \), we will isolate \( x \) step by step.

1. First, subtract 22 from both sides: \[ 22 - 2x - 22 < 38 - 22 \] This simplifies to: \[ -2x < 16 \]

2. Next, divide both sides by -2. Remember that when you divide by a negative number, you need to reverse the inequality sign: \[ x > \frac{16}{-2} \] This simplifies to: \[ x > -8 \]

Thus, the solution to the inequality is: \[ x > -8 \]

The correct response is: X > -8