Question

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

Answer 1

Answer:

-10<x<5

Step-by-step 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

Answer:

The solution will be:  $2$

Step-by-step explanation:

The given inequality is:   $12$

First we will multiply all sides by 2 for eliminating that $\frac{1}{2}$ in the middle part. So.........

$2*12$

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

$24-16$

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

$\frac{8}{4}< \frac{4x}{4}< \frac{20}{4} \\ \\ 2$

Thus, the solution will be:  $2$