Solve the absolute value inequality: |5x – 4|

Question

Solve the absolute value inequality:
|5x – 4| < 21

A) -17/5 < x < 5
B) x > 5 OR x < 17/5 
C) -5 < x < 5
D) -4 < x < 5

chosenmatt · Answer

C

anonymous · Answer

@chosenmatt Dont give answers, read the code of conduct http://openstudy.com/code-of-conduct

anonymous · Answer

|5x – 4| < 21

21 + 4 / 5 = the answer.

igreen · Answer

|5x - 4| < 21

This breaks into two inequalities:

5x - 4 < 21

and

-5x + 4 < 21

------------

5x - 4 < 21

Add 4 to both sides:

5x < 25

Divide 5 to both sides:

x < 5

------------

-5x + 4 < 21

Subtract 4 to both sides:

-5x < 17

Can you divide 17 / -5? @pigglet

igreen · Answer

Lol I basically just gave you the answer..my bad.

igreen · Answer

Well our solutions are:

-17.5 < x < 5

anonymous · Answer

is it a? im really bad at math

igreen · Answer

Yep!

anonymous · Answer

thanks! thats finally the last question!