Hello :)
First, solve each side before we solve the inequality
4 − (x + 2)
−3x − 12
− (x+2)
4 − x − 2
*group the like terms*
− x + 4 − 2
− x + 2
−3(x + 4)
−3(x + 4)
3x − 12
− x + 2 < 3x − 12
subtract 2 from both sides
− x + 2 < −3x − 12
-2 -2
−x < − 3x − 14
add 3x to both sides
−x < − 3x − 14
+3x +3x
2x < − 14
divide both sides by 2
[tex]\frac{2x}{2}[/tex]<[tex]\frac{-14}{2}[/tex]
