Express the set in the simplest interval form.
-$(-4,6] \cap(-2, \infty)$
A) $[-2,6]$
B) $(-4, \infty)$
C) $(-2,6]$
D) $(-4,6]$

Question

Quizplus · Accepted Answer

The intersection of $(-4,6]$ and $(-2, \infty)$ is the set of all numbers that are in both intervals. Since $(-2, \infty)$ starts at -2 and goes to infinity, it includes all of the numbers in $(-4,6]$ from -2 onwards. Therefore, the intersection is $(-2,6]$, which includes all numbers greater than -2 and up to and including 6.

Express the Set in the Simplest Interval Form (−4,6]∩(−2,∞)(-4,6] \cap(-2, \infty)(−4,6]∩(−2,∞)

Express the Set in the Simplest Interval Form $(-4,6] \cap(-2, \infty)$