Question

HELP PLEASE?
Solve and graph the inequality |4-2v| <8

Write the inequality as two inequalities without absolute value.

Answer 1

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Answer 2

the answer is -6<x<6

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

Which looks like this on the number line: