Respuesta :

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

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