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Chapter 2: Q. 621 (page 221)

In the following exercises, solve. Graph the solution and write the solution in interval notation 鈥�|x鈥�鈭�鈥�7|鈥�鈮�鈥�1.

Short Answer

Expert verified

The solution of the given equation is (-鈭�鈥�,鈥�6]鈭�鈥�[8,鈥�鈭�鈥�)and graph is shown as

Step by step solution

01

Step 1. Given Information.

The given equation is 鈥�|x鈥�鈭�鈥�7|鈥�鈮�鈥�1.

02

Step 2. Solve the given equation.

Solving 鈥�|x鈥�鈭�鈥�7|鈥�鈮�鈥�1

Applying absolute rule , we get:-

x-7鈮�鈥�-1or鈥�x-7鈮�鈥�1x鈮�-1+7orx鈮�1+7x鈮�6orx鈮�8

Hence, The interval Notation is (-鈭�鈥�,鈥�6]鈭�鈥�[8,鈥�鈭�鈥�).

03

Step 3. The graphical solution of equation .

The graphical Representation is shown as:-

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