Question

Linear Inequalities Quick Check
3 of 53 of 5 Items
Question
Solve the linear inequality.

2x−2<200

(1 point)
Responses

x<100
x<100

x>100
x is greater than 100

x<101
x<101

x<99

Answer 1

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

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

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

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

The correct response from the options is:
**x < 101**.