Question

Solve the given inequality. Write the solution set using interval notation, then graph it.

1/3x-2<1/4x+4

What I know is that the LCD of 3 & 4 is 12 so I get:

12(1/3x-2)<12(1/4x+4)
12/36x-24<12/48x+48
3x-24<4x+48
3x-72<4x
-72 -72 Due to the nature of me getting problems wrong, can anyone tell me what is wrong if anything?

Answer 1

\[\frac{ 1 }{ 3 }x-2<\frac{ 1 }{ 4 }x+4\]

Answer 2

??

Answer 3

That's right.

Answer 4

Then I multiplied by 12 on both sides

Answer 5

4x-24<3x+48

Answer 6

add 24 to both sides next

Answer 7

then subtract 3x from both sides

Answer 8

x<72

Answer 9

Thats what I got