Consider the inequality.

Question

2x−2<4


Determine the solution.

(1 point)
Responses

x<3
x<3

x>3
x is greater than 3

x<1
x<1

x>1
x is greater than 1

Answer 1

To solve the inequality \( 2x - 2 < 4 \), we can follow these steps:

1. Add 2 to both sides of the inequality: \[ 2x - 2 + 2 < 4 + 2 \] This simplifies to: \[ 2x < 6 \]

2. Divide both sides by 2: \[ \frac{2x}{2} < \frac{6}{2} \] This simplifies to: \[ x < 3 \]

So the solution to the inequality is \( x < 3 \).

The correct response is: x < 3.