Question

Solve the linear inequality.

2x−2<200


(1 point)
Responses

x<100
x<100

x>100
x is greater than 100

x<99
x<99

x<101

Answer 1

To solve the inequality \( 2x - 2 < 200 \), follow these steps:

1. **Add 2 to both sides**:
\[
2x - 2 + 2 < 200 + 2
\]
This simplifies to:
\[
2x < 202
\]

2. **Divide both sides by 2**:
\[
\frac{2x}{2} < \frac{202}{2}
\]
This simplifies to:
\[
x < 101
\]

So the solution to the inequality is \( x < 101 \).

The correct response is:
**x < 101**.