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Chapter 2: Q. 622 (page 221)

In the following exercises, solve. Graph the solution and write the solution in interval notation 3|x|鈥�+鈥�4鈥�鈮�鈥�1.

Short Answer

Expert verified

The solution of the given equation is -鈭�鈥�,鈥�鈭�鈥� .Therefore , No graph is possible.

Step by step solution

01

Step 1. Given Information.

The given equation is 鈥�3|x|鈥�+鈥�4鈥�鈮�鈥�1.

02

Step 2. Solve the given equation.

Solving 鈥�3|x|鈥�+鈥�4鈥�鈮�鈥�1

Subtract 4 from both sides

3x+4-4鈮�鈥�1-43x鈮�鈥�-3

03

Step 3. Simplifying and solving the equation.

Divide both sides by 3 .

3x3鈮�-33x鈮�鈥�-1

Absolute values are always greater or equal to 0. Therefore, The value of equation is true for all values of x . Hence, No graphical representation is possible .

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