# Linear Inequalities (One Variable)

How to solve linear inequalities (one variable) problems: examples and their solutions.

## Example 1

Solve the linear inequality

like solving a linear equation:

Move the constant term +5 to the right side.

Moving the terms on both side (= adding, subtracting)

doesn't change the order of the inequality sign.

Then divide both sides

by the *x* term's coefficient: 7.

The divisor 7 is (+).

So the order of the inequality sign

doesn't change.

## Example 2

Move the constant term 2 to the right side.

Then divide both sides

by the *a* term's coefficient: -3.

The divisor -3 is (-).

So the order of the inequality sign

does change.

So keep this in mind:

Multiplying and dividing (-), a negative number,

does change the order of the inequality sign.