Answer:
[tex]x>-5/2[/tex]
Step-by-step explanation:
So we have:
[tex]8x+3>4(\frac{1}{2}x-3)[/tex]
First, distribute the right:
[tex]8x+3>2x-12[/tex]
Subtract 2x from both sides:
[tex]6x+3>-12[/tex]
Subtract 3 from both sides:
[tex]6x>-15[/tex]
Divide everything by 6:
[tex]x>-15/6[/tex]
Reduce:
[tex]x>-5/2[/tex]
And this is our answer :)