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: