Question

1. graph the interval represented in interval notation on the number line. (-∞,1)∪(9,∞)

Explanation:

Step1: Identify the intervals

The given interval is $(-\infty, 1)\cup(9,\infty)$. The first interval $(-\infty, 1)$ includes all real - numbers less than 1, and the second interval $(9,\infty)$ includes all real - numbers greater than 9.

Step2: Mark on the number line

On the number line, for the interval $(-\infty, 1)$, we draw an open circle at 1 (since 1 is not included) and an arrow pointing to the left towards negative infinity. For the interval $(9,\infty)$, we draw an open circle at 9 (since 9 is not included) and an arrow pointing to the right towards positive infinity.

Answer:

On the number line, draw an open circle at 1 and an arrow pointing left, and draw an open circle at 9 and an arrow pointing right.