Chapter 3.6, Problem 20P

Write each inequality or set in interval notation. Then graph the interval.

$x>0$

To determine

To write: the interval notation of given inequality and then to graph the interval.

Explanation of Solution

Given information:

The given inequality is $x>0$

Concept used:

The open circle in the graph indicates excluding the point.

Closed circle indicates including the point.

Calculation:

Consider the inequality $x>0$

The given inequality not including the point $0$

  $x>0\Rightarrow \left(0,\infty \right)$

Graph:

The graph of given interval is shown below.

  

Hence, the interval representation of given inequality is $\left(0,\infty \right)$