The given inequality is : x + 2 > 3x - 8
x + 2 > 3x - 8
Subtract 2 from both side :
x + 2 - 2 > 3x - 8 - 2
x > 3x - 10
Subtract 3x from both side:
x - 3x > 3x - 10 - 3x
-2x > - 10
Multiply both side by (-1) and reverse the inequality:
(-1)(-2x) < (-1) (-10)
2x < 10
Divide both side by 2
2x/2 < 10/2
x < 5
x + 2 > 3x - 8 = x < 5
Answer : C) x < 5
