Answer:
The solution will be: [tex]2<x<5[/tex]
Step-by-step explanation:
The given inequality is: [tex]12<\frac{1}{2}(4x+16)<18[/tex]
First we will multiply all sides by 2 for eliminating that [tex]\frac{1}{2}[/tex] in the middle part. So.........
[tex]2*12<2*\frac{1}{2}(4x+16)<2*18 \\ \\ 24<4x+16<36[/tex]
Now, we need to subtract 16 from all sides. So, we will get........
[tex]24-16<4x+16-16<36-16\\ \\ 8<4x<20[/tex]
Then, we will divide all sides by 4 for getting [tex]x[/tex] alone in the middle part. So.......
[tex]\frac{8}{4}< \frac{4x}{4}< \frac{20}{4} \\ \\ 2<x<5[/tex]
Thus, the solution will be: [tex]2<x<5[/tex]
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.
