Solve the linear inequality and express your answer in interval notation.

91

Question

Solve the linear inequality and express your answer in interval notation. 

91 < |39 - {13}/{3}x |

anonymous · Answer

Please?

anonymous · Answer

Hello there. Any ideas?

anonymous · Answer

So...I'm guessing I should begin by subtracting 39 from both sides.

anonymous · Answer

No, really...

anonymous · Answer

What were you going to propose?

anonymous · Answer

?

anonymous · Answer

Wonderful. There you are.

anonymous · Answer

Any ideas?

hartnn · Answer

|x|>a means x>a OR x<-a so what 2 equation u get for 91 < |39 - {13}/{3}x | ??

hartnn · Answer

u can remove the mod sign || after breaking it into 2 equations

anonymous · Answer

Yeah, yeah...sorry

anonymous · Answer

91 < 39 - {13}/{3}x and 39 - {13}/{3}x < -91. There.

anonymous · Answer

I guess my biggest problem is with the fact that 13/3 is the coefficient.

hartnn · Answer

now those are just normal equations, try to isolate x from them

anonymous · Answer

So, I've simplified them. Now I have -13x = 234 and 13x = -312

anonymous · Answer

Which...is apparently not right.

anonymous · Answer

At least (-inf,-18) U (24,inf) and (-18,24) are wrong.

hartnn · Answer

91 < 39 - {13}/{3}x
91-39 < -13/3 x
52 < -13/3 x 
156  < -13 x
12 < -x 
-12> x 
x< -12
got this part ?

anonymous · Answer

Yes.

hartnn · Answer

do it similarly for 39 - {13}/{3}x < -91.

anonymous · Answer

-13x < -130, -13x/-13 < -130/-13, x > 10

hartnn · Answer

x> 130*3/13 
x> 30

anonymous · Answer

Ohhh....

anonymous · Answer

Thank you so much (again) hartnn!

anonymous · Answer

See you!