Chapter 8.6, Problem 33IP

To determine

Write an inequality for the graph.

Answer to Problem 33IP

  $x\ge -10$

  

Explanation of Solution

Given information:

The given interval $[-10,\infty )$

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 $[-10,\infty )$ on a number line, we will put a square bracket at − 10 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 − 10, so the inequality should be $x\ge -10$

Thus the inequality is $x\ge -10$