Chapter 3.6, Problem 13P

Write each interval as an inequality. Then graph the solutions.

(-1,10]

To determine

To write: the solution $\left(-1,10\right]$ in inequality and plot graph.

Answer to Problem 13P

The inequality is $-1<x\le 10$ .

Explanation of Solution

Given:

The solution of inequality is $\left(-1,10\right]$ .

Calculation:

Steps to write an inequality:

Step1

Consider a variable as x .

Step2

Extreme left point is -1 which is in open bracket. Thus,

  $-1<x$

Step3

Extreme right point is 10 which are in closed bracket. Hence,

  $-1<x\le 10$

Thus, the inequality is $-1<x\le 10$ .

Thus, the graph of $-1<x\le 10$ is shown below:

  

Here, blank circle is for not equal to condition and dark circle is for equal to condition.