Chapter 3.6, Problem 26PPE

To determine

To write: The interval $\left[6,\infty \right)$ as an inequality. Then graph the solutions.

Answer to Problem 26PPE

The interval $\left[6,\infty \right)$ can be expressed in inequality as $x\ge 6$ .

Explanation of Solution

Given information: The interval is $\left[6,\infty \right)$ .

Calculation:

From the interval $\left[6,\infty \right)$ , it is observed that the bracket at the left end indicates that the endpoint 6 is included.

So, the interval $\left[6,\infty \right)$ can be expressed in inequality as $6\le x$ .

Graph the inequality $6\le x$ on the number line as shown below in Figure 1.

  

Figure 1

Thus, the interval $\left[6,\infty \right)$ can be expressed in inequality as $x\ge 6$ .