Chapter 8.6, Problem 32IP

To determine

Write an inequality for the graph.

Answer to Problem 32IP

  $x>2$

  

Explanation of Solution

Given information:

The given interval $(2,\infty )$

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 $(2,\infty )$ on a number line, we will put a parenthesis at 2 and move to the right infinitely on the number line. The graph of the interval on the number line is shown below:

  

As the graph moving to right infinitely from 2, so the inequality should be $x>2$

Thus the inequality is $x>2$