Review of Inequalities

1.

The \(>\) is greater than symbol means "greater than and not including".

A filled circle means "including this number".

An open circle means "not including this number".

\(x>2\) does not include \(2\). We can draw an open circle at \(2\).

Numbers to the right of \(2\) are greater than \(2\). We can draw an arrow to the right of the circle.

The graph of \(x>2\) is:

2.

The \( \leq\) symbol means "less than or equal to".

A filled circle means "including this number".

An open circle means "not including this number".

\(x \leq 5\) includes \(5\). We can draw a filled circle at \(5\).

Numbers to the left of \(5\) are less than \(5\). We can draw an arrow to the left of the circle.

The graph of \(x \leq 5\) is:

3.

The \( < \) symbol means "less than and not including".

A filled circle means "including this number".

An open circle means "not including this number".

\(x < 1\) does not include \(1\). We can draw an open circle at \(1\).

Numbers to the left of \(1\) are less than \(1\). We can draw an arrow to the left of the circle.

The graph of \(x < 1\) is:

4.

The \( \geq \) symbol means "greater than or equal to".

A filled circle means "including this number".

An open circle means "not including this number".

\(x \geq -1\) includes \(-1\). We can draw a filled circle at \(-1\).

Numbers to the right of \(-1\) are greater than \(-1\). We can draw an arrow to the right of the circle.

The graph of \(x \geq -1\) is: