Chapter P.1, Problem 13E

Solution

The inequality for the interval of real numbers represented by the given graph.

The inequality for the given interval of real numbers is: $x<5$

Given:

The graph of inequality:

  

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 represents the real numbers that are less than $5$ .

Since there is an open parenthesis at the right endpoint and the inequality is moving to left indefinitely, use the inequality symbol $<$ with $5$ .

Therefore, the inequality for the given interval of real numbers is $x<5$ .