Question

2. Find the solution set to this inequality: *2x - 52x - 3>2O x< 1/2X > 1/2Ox51/2O x2 1/2

Answer 1

We have the next inequality

`2x-3>(2x-5)/(2)`

First, we will multiply both sides by 2

`2(2x-3)>(2)/(2)(2x-5)`
`4x-6>2x-5`

We subtract on bot sides 2x

`4x-6-2x>2x-2x-5`
`2x-6>-5`

then we add 6 on both sides

`2x-6+6>-5+6`
`2x>1`

then we divide between 2 on both sides

`(2)/(2)x>(1)/(2)`
`x>(1)/(2)`

ANSWER

x>(1/2)

the correct choice is second