Question

Solve for x: 4 − (x + 2) < −3(x + 4)

Answer 1

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.