Question

Solve the inequality ?12<1/2(4x+16)<18

Answer 1

-10<x<5

Explanation:

-12<1/2(4x+16)<18

-12<2x+8<18

-8 -8 -8

-20<2x<10

/2 /2 /2

-10<x<5

take out the negative if it doesn't work.

Answer 2

The solution will be:
`2<x<5`

Explanation:

The given inequality is:
`12<(1)/(2)(4x+16)<18`

First we will multiply all sides by 2 for eliminating that
`(1)/(2)` in the middle part. So.........

`2*12<2*(1)/(2)(4x+16)<2*18 \\ \\ 24<4x+16<36`

Now, we need to subtract 16 from all sides. So, we will get........

`24-16<4x+16-16<36-16\\ \\ 8<4x<20`

Then, we will divide all sides by 4 for getting
`x` alone in the middle part. So.......

`(8)/(4)< (4x)/(4)< (20)/(4) \\ \\ 2<x<5`

Thus, the solution will be:
`2<x<5`