Question

Solve the linear inequality. Other than , use interval notation to express the solution set and graph the solution set on a number line.

Answer 1

\[\frac{ x }{ 6 }-\frac{ 2 }{ 3 }\le \frac{ x }{ 4 }+1\]

Answer 2

you could multiply everything by 12 to make it
\[ 2x -8 ≤ 3x+12\]

now add -2x to both sides
add -12 to both sides

Answer 3

ok i though so.

Answer 4

wait how did you get 8

Answer 5

nevermind

Answer 6

I multiplied all the terms by 12 to get rid of the fractions
12* -2/3 = -24/3 = -8

Answer 7

yeah got it. thanks -20<x

Answer 8

do i change the inequality sign to >

Answer 9

isn't it
-20 ≤ x

use a solid circle at -20, and draw an arrow pointing to the right (toward 0)