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Concept

Strict vs. Non-Strict Inequality

Strict

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.

Non-Strict

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.