Questions: Consider the following subset of the real number line. How can this set be expressed using inequalities?

Consider the following subset of the real number line. How can this set be expressed using inequalities?
Transcript text: Consider the following subset of the real number line. How can this set be expressed using inequalities?
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Solution

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Solution Steps

Step 1: Find the endpoints

The endpoints of the highlighted section of the number line are -2 and 5. The endpoint at -2 is a closed circle which signifies that -2 is included in the interval. The endpoint at 5 is an open circle, so 5 is not included in the interval.

Step 2: Write the compound inequality

The highlighted numbers are greater than or equal to -2 and less than 5. So, the compound inequality is:

-2 ≤ x < 5

Final Answer:

-2 ≤ x < 5

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