HELP PLEASE?
Solve and graph the inequality |4-2v|

Question

HELP PLEASE?
Solve and graph the inequality |4-2v| <8

Write the inequality as two inequalities without absolute value.

leozap1 · Answer

anonymous · Answer

the answer is -6<x<6

anonymous · Answer

also solve the inequalities and write the solution set
Graph the solution on a number line

mertsj · Answer

|4-2v|<8 means that 4-2v is less than 8 units from 0

mertsj · Answer

If something is less than 8 units from 0, it must be between 8 and -8 so you should write:
-8<4-2v<8

mertsj · Answer

Then you solve that by subtracting 4 from each part which gives you:
-12<-2v<4

mertsj · Answer

So now you have to divide all the parts by -2 which means you have to reverse the inequality symbols and you will get:
6>v>-2

mertsj · Answer

Which looks like this on the number line:
|dw:1389320430941:dw|