Inequalities, for the main part can be dealt with in the same way as equations. Whatever you do to the left, you do the same thing to the right. The only exception is if you need to multiply or divide both sides by a minus number, in which case, the < symbol would become a > symbol and vice versa. The same also applies to ≤ and ≥ .

On number lines, < and > have open circles which are not shaded in. ≤ and ≥ have circles that are shaded in.

On graphs, < and > have dotted or dashed lines showing the boundary of a shaded area to indicate that the actual line is not included whereas ≤ and ≥ have a solid boundary indicating that the values covered by the line are included in the inequality.

The symbols < and > indicate strict inequalities.

Inequalities in graphs

n explanation of how inequalities are shown in graphs. You will need the sound on for this. It makes explicit the idea for dotted or dashed lines for strict inequalities whereas other inequalities have solid lines.

Solving Inequalities video 1

An explanation of how to solve a strict inequality.

Solving Inequalities video 2

An explanation of how to solve a strict inequality.

Solving Inequalities video 3

An explanation of how to solve a strict inequality.

Inequalities problems

Solving inequalities and drawing inequalities onto number lines.

Inequalities with minus x terms

Solving inequalities including when you have minus x terms.

Inequalities on a number line

Blank numberlines onto which you can draw inequalities. The first one is an example.

Inequalities video 1

A video showing you how to answer simple inequalities questions.

Inequalities video 2

A video showing you how to answer inequalities questions including when you have to change the < to > .

Describing the area of a graph using inequalities

Describing the area of a graph using inequalities.

Inequalities to solve

Solving inequalities including some error interval type inequalities.

Quadratic Inequalities

An example of how to solve an inequality followed by several other questions of a similiar type.