Chapter R.3, Problem 1DE

Graph each inequality.

$x>-1$

To determine

To graph: The inequality $x>-1$ on number line.

Explanation of Solution

Given information:

The provided inequality is $x>-1$.

Graph:

Consider the inequality $x>-1$.

First draw a line graph and find the point $-1$ on it, since there is no equal to sign, point $-1$ will not be included in the graph and this is shown as (parenthesis).

The solution consists of all the points greater than $-1$, and then the solution set is as below:

$\left\{x|x>-1\right\}$

The graph for inequality $x>-1$ with all the numbers greater than $-1$ shaded, showing the solution is as below:

Interpretation:

The above graph is a parenthesis at $-1$ that shows the point is not included in the graph, and the straight red line shows all the points greater than $-1$, that makes the solution set $\left\{x|x>-1\right\}$.