Question

graph the interval represented in interval notation on the number line. (-∞, -5) ∪ (5, ∞) answer attempt 1 out of 2 number line:

Explanation:

Step1: Identify the intervals

The given interval is $(-\infty, - 5)\cup(5,\infty)$. It consists of two open - intervals.

Step2: Graph the first interval

For the interval $(-\infty,-5)$, we draw an open circle at $x = - 5$ (since it is an open - interval) and an arrow pointing to the left towards negative infinity.

Step3: Graph the second interval

For the interval $(5,\infty)$, we draw an open circle at $x = 5$ (since it is an open - interval) and an arrow pointing to the right towards positive infinity.

Answer:

On the number line, place an open circle at $x=-5$ and draw an arrow to the left. Place an open circle at $x = 5$ and draw an arrow to the right.