# Inequalities in two variables

**Inequalities in two variables**

Linear inequalities can also come with two variables such as *x* and *y*. For example,

*x* + *y* < 3

This can be graphically represented using the following graph:

The dotted line represent *x* + *y* = 3. The region below this line represents *x* + *y* < 3 and the region above it region *above* the line *x* + *y* = 3 contains every point where *x* + *y* > 3.

One way to verify this is by using the point (0, 0) and substituting the inequality. For example:

When substituting *x* = 0 and *y* = 0 into 4*y* – 3*x* > 2

= 4 × 0 – 3 × 0 > 2

= 0 > 2

Therefore 0 is not greater than 2 so the point(0, 0) is not in the required region.