Solve for x: 4 - (x + 2) < - 3 (x + 4)

4 - (x+2) < - 3 (x+4)

4 - 1 (x) - 1 (2) < - 3 (x) - 3 (4)

4 - x - 2 < - 3x - 12

+3x + 3x

2 + 2x < - 12

-2 - 2

2x < - 14

:2 : 2

x < - 7

assume that x = - 8

4 - (-8 + 2) < - 3 (-8 + 4)

4 - (-6) < - 3 (-4)

4 + 6 < 12

10 < 12 the inequality is true.