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

We have the next inequality
[tex]2x-3>\frac{2x-5}{2}[/tex]First, we will multiply both sides by 2
[tex]2(2x-3)>\frac{2}{2}(2x-5)[/tex][tex]4x-6>2x-5[/tex]We subtract on bot sides 2x
[tex]4x-6-2x>2x-2x-5[/tex][tex]2x-6>-5[/tex]then we add 6 on both sides
[tex]2x-6+6>-5+6[/tex][tex]2x>1[/tex]then we divide between 2 on both sides
[tex]\frac{2}{2}x>\frac{1}{2}[/tex][tex]x>\frac{1}{2}[/tex]ANSWER
x>(1/2)
the correct choice is second