Question

Help with rational inequalities please...question below thanks

Answer 1

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

Answer 2

sorry there isn't supposed to be a question mark after the 4

Answer 3

Times x+4 on both sides
\[3x-2<2x+8\]
Then you minus 2x on both sides
\[x-2<8\]
Lastly, you add 2 on both sides
\[x <10\]

Answer 4

\[\large \frac{ 3x-2 }{ x+4 } < 2\]
multiply both sides by (x+4)
\[\large 3x-2 < 2(x+4)\]
Can you do it from here?

Answer 5

great, thanks for your help...wouldn't the answer also include x cannot equal 4?

Answer 6

it would be -4<x<10