Chapter P.1, Problem 24E

Solution

To describe the interval of real numbers $x\ge -1$ using words.

The interval represents all real numbers that are greater than or equal to $-1$ .

Given:

The interval of real numbers, $x\ge -1$ .

Concept Used:

• If there is the strict inequality symbol $<\text{ or}>$ , then use a parenthesis $\left(\right)$ on the interval
• If there is the inequality symbol $\le \text{ or}\ge$ , then use a bracket $\left[\right]$ on the interval
• To graph the endpoint with strict inequality $<\text{ or}>$, use the open parenthesis or a hollow circle at that endpoint.
• To graph the endpoint with inequality symbol $\le \text{ or}\ge$, use the bracket or a solid circle at that endpoint.

Calculation:

The given set of real numbers, $x\ge -1$ , represents all real numbers that are greater than or equal to $-1$ .

Since the inequality sign with $-1$ is not strict, it is included in the interval as well.

Therefore, the interval represents all real numbers that are greater than or equal to $-1$ .