Answer: x > 2/3
Step-by-step explanation:
-1 - x/2 < x
Simplify:
-1/2x + 1 < x
Subtract x from both sides:
-1/2x + 1 - x < x - x
-3/2x + 1 < 0
Subtract 1 from both sides:
-3/2x + 1 - 1 < 0 - 1
-3/2x < -1
Multiply both sides by 2/(-3):
2/(-3) (-3/2) < 2/(-3) (-1)
x > 2/3
