Questions: Write the solution set displayed on the number line using interval notation.

Write the solution set displayed on the number line using interval notation.
Transcript text: Write the solution set displayed on the number line using interval notation.
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Solution

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Solution Steps

Step 1: Identify the Intervals

The number line shows two intervals:

  1. From \(-\infty\) to \(-5\) (not including \(-5\))
  2. From \(2\) to \(\infty\) (not including \(2\))
Step 2: Determine the Union of Intervals

Since the intervals are separate, we use the union symbol (\(\cup\)) to combine them.

Step 3: Write the Solution in Interval Notation

Combine the intervals using the union symbol: \[ (-\infty, -5) \cup (2, \infty) \]

Final Answer

\[ (-\infty, -5) \cup (2, \infty) \]

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