Solve for x.

-x/2<-1

Enter the solution to the inequality in the box.

I believe it is x>-2

Remark

You have to be awfully careful with this inequality. If can cause you all kinds of grief.

The easiest way to do this is to begin by dividing by - 1. What that does is turn the inequality

from (-x/2) < - 1 to

x / 2 > 1

The rule is when you divide by a negative, that turns the or the other way around ie > to <. You could actually show that happening.

Start with your given

- (x / 2) < - 1 Add 1 to both sides.

- (x / 2) + 1 < - 1 + 1 The 1 and - 1 cancel on the right.

- (x/2) + 1 < 0 Add x/2 to both sides

- (x/2) + x/2 + 1 < x/2 Add the like terms on the left.

1 < x/2 Which is exactly what we predicted would happen

Multiply by 2

2*1 < (x/2) * 2

2 < x