45.0k views
3 votes
Solve for x.

−x/2<−1

Enter the solution to the inequality in the box.

User Afforess
by
8.5k points

2 Answers

3 votes
I believe it is x>-2
User CtheSky
by
8.0k points
7 votes

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 < sign to > 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

User Zarne Dravitzki
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.