Question

1. -/1 points graph the set. {x | -7 < x < 0} ∪ {x | x > 9} use the tools to enter your answer.

Explanation:

Step1: Analyze first interval

The interval $\{x|-7 < x < 0\}$ is an open - interval. On the number line, we use open circles at $x=-7$ and $x = 0$ and shade the region between them.

Step2: Analyze second interval

The interval $\{x|x>9\}$ is also an open - interval. We use an open circle at $x = 9$ and shade the region to the right of $x=9$.

Step3: Combine for union

The union $\{x|-7 < x < 0\}\cup\{x|x>9\}$ means we combine the two shaded regions from the previous steps.

Answer:

On the number line, place open circles at $x=-7$, $x = 0$ and $x=9$. Shade the region between $x=-7$ and $x = 0$ and also shade the region to the right of $x=9$.