Linear Inequalities Quick Check

Question

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.