Questions: Graph the set. (-∞,-3) ∪ (8, ∞)

Graph the set. (-∞,-3) ∪ (8, ∞)
Transcript text: Graph the set. \[ (-\infty,-3) \cup(8, \infty) \]
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Solution

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Solution Steps

Step 1: Identify the intervals

The given set consists of two intervals: $(-\infty, -3)$ and $(8, \infty)$.

Step 2: Represent the intervals on the number line

The interval $(-\infty, -3)$ represents all numbers less than -3. We represent this with an open circle at -3 and an arrow extending to the left.

The interval $(8, \infty)$ represents all numbers greater than 8. We represent this with an open circle at 8 and an arrow extending to the right.

Final Answer

The correct graph has open circles at -3 and 8, with arrows extending to the left from -3 and to the right from 8. The point at -3 corresponds with what appears to be tick mark -3 in the image, and the point at 8 corresponds with what appears to be tick mark 8 in the image.

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