Question

graph the set. (-7, -5)
use the tools to enter your answer.
webassign numberline
write the set in set - builder notation.
{x | -7 ≤ x ≤ -5}
{x | -7 < x ≤ -5}
{x | -7 ≤ x < -5}
{x | -7 < x < -5}

Explanation:

Step1: Understand interval notation

The open - interval $(-7,-5)$ means all real numbers $x$ such that $-7 < x < - 5$. In set - builder notation, this is written as $\{x|-7 < x < - 5\}$. When graphing an open interval on a number line, we use open circles at the endpoints.

Step2: Graph the interval

On the number line, place an open circle at $x=-7$ and an open circle at $x = - 5$, and shade the region between them.

Answer:

$\{x|-7 < x < - 5\}$; On the number line, place open circles at $-7$ and $-5$ and shade the region between them.