Inequalities and Interval Notation Vocabulary

Flashcards covering key definitions, interval notation, set-builder notation, and compound inequality concepts from the lecture material.

Set-builder notation for a \text{ }\begin{equation}\begin{aligned}\ge\end{aligned}\n\end{equation}-4

The formal mathematical set notation for values greater than or equal to $-4$, written as $\{a \mid a \ge -4\}$.

Interval notation for $a \ge -4$

The interval notation representing all real numbers greater than or equal to $-4$, written as $[-4, \infty)$.

Set-builder notation for $t > -2$

The formal mathematical set notation for values strictly greater than $-2$, written as $\{t \mid t > -2\}$.

Interval notation for $t > -2$

The interval notation representing all real numbers strictly greater than $-2$, written as $(-2, \infty)$.

Interval notation for $t \le 3 \text{ and } t > -2$

The solution set in interval notation for the compound inequality joined by the conjunction 'and', written as $(-2, 3]$.

Interval notation for $t \le 3 \text{ or } t > -2$

The solution set in interval notation for the compound inequality joined by the disjunction 'or', covering all real numbers as $(-\infty, \infty)$.

Three-part compound inequality

A compound inequality statement containing two inequality signs bounding an expression, such as $-5 < \frac{-4x+2}{-3} \le 4$.