Write the inequality in interval notation. $- 4

Question

Write the inequality in interval notation. $- 4 < x \leq 2$
A) $( - 4,2 ]$
B) $[ - 4,2 ]$
C) $( - 4,2 )$
D) $[ - 4,2 )$
E) $[ - 2,4 ]$

Quizplus · Accepted Answer

In interval notation, we use parentheses to indicate that an endpoint is not included in the set and brackets to indicate that an endpoint is included in the set. We are given the inequality $-4<x\leq 2$, meaning that $x$ is greater than -4 but less than or equal to 2. Since -4 is not included in the set but 2 is, we use a parenthesis for -4 and a bracket for 2. Thus, the interval notation for this set is $( - 4,2 ]$.

Write the Inequality in Interval Notation −4<x≤2- 4 < x \leq 2−4<x≤2

Write the Inequality in Interval Notation $- 4 < x \leq 2$