how do u solve for 4<1/2(4x-8)<14?
First, use the distributive property of multiplication with ½(4x-8). In other words multiply ½ by four, then multiply ½ by 8 and subtract them.
Now the inequality reads: 4<2x-4<14. Now add the four in the middle to every side of the inequality.
Now it looks like this: 8<2x<18.
Finally, we divide everything by 2
Your answer is: 4<x<9