Questions: Solve the following inequality and write interval notation for the solution set. Then graph the solution set. x<1 Select the correct choice below and, if necessary, fill in the answer to your choice. A. The solution set is (Simplify your answers.) There is no solution. Choose the correct graph below.

Solve the following inequality and write interval notation for the solution set. Then graph the solution set. x<1

Select the correct choice below and, if necessary, fill in the answer to your choice.
A. The solution set is

(Simplify your answers.)
There is no solution.
Choose the correct graph below.

Transcript text: Solve the following inequality and write interval notation for the solution set. Then graph the solution set. $|x|<1$ Select the correct choice below and, if necessary, fill in the a your choice. A. The solution set is $\square$ $\square$.) (Simplify your answers.) There is no solution. Choose the correct graph below.

Solution

Solution Steps

Step 1: Rewrite the absolute value inequality as a compound inequality

The given inequality is |x| < 1. This can be rewritten as -1 < x < 1.

Step 2: Write the solution in interval notation

The solution set is all numbers between -1 and 1, not including -1 and 1. In interval notation, this is written as (-1, 1).

Step 3: Identify the correct graph

The graph should represent all values between -1 and 1, not including the endpoints. This corresponds to option C, which shows open circles (indicating exclusion of the endpoints) at -1 and 1 and shading between them.