Chapter 8.6, Problem 11GP

To determine

Write an inequality for the graph.

Answer to Problem 11GP

  $x>5$

  

Explanation of Solution

Given information:

The given interval $(5,\infty )$

Concept used:

If there is a parenthesis $\left(\right)$ on the interval, then we use the strict inequality symbols $<\text{ or}>$

If there is a bracket $\left[\right]$ on the interval, then we use the inequality symbols $\le \text{ or}\ge$

Calculation:

To graph the given interval $(5,\infty )$ on a number line, we will put a open dot at $5$ and move to the right infinitely on the number line. The graph on the number line is shown below:

  

As the graph moving to right infinitely from $5$ , so the inequality should be $x>5$

Thus the inequality is $x>5$