Question

Simplify the equation: 2x - 3 > 2(x+9)

Answer 1

See below.

Explanation:

So we have the inequality:

`2x-3>2(x+9)`

First, distribute the right side:

`2x-3>2x+18`

Subtract both sides by 2x. Both the left and right cancels:

`(2x-3)-2x>(2x+18)-2x\\-3>18`

-3 is not greater than 18. Therefore, the inequality is never true.

Answer 2

no solution

Explanation:

2x - 3 > 2(x+9)

Distribute

2x-3 > 2x+18

Add 3 to each side

2x-3+3 > 2x+18+3

2x> 2x+21

Subtract 2x from each side

2x-2x> 2x-2x+21

0 > 21

This is never true so there is no solution