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An inequality involving the comparison of two quantities that are strictly *not equal* is called a **strict inequality**. There are two main kinds of strict inequalities:
$\begin{aligned}
\text{is less than: }&\lt\\
\text{is greater than: }&\gt
\end{aligned}$
The boundary values in strict inequalities are *not* included in the solution set. To indicate this graphically, an open point $(\circ)$ is used on number line inequalities and a dashed boundary curve is used on two-dimensional inequalities.

On the other hand, an inequality that compares two quantities that are *not necessarily* equal is called a **non-strict inequality**. There are two main kinds of non-strict inequalities:
$\begin{aligned}
\text{is less than or equal to: }&\leq\\
\text{is greater than or equal to: }&\geq
\end{aligned}$
The boundary values in non-strict inequalities *are* included in the solution set. To indicate this graphically, a closed point $(\bullet)$ is used on number line inequalities and a solid boundary curve is used on two-dimensional inequalities.