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Chapter 2: Q24. (page 106)

Solve each equation. Then graph the solution set.

v鈭�2=鈭�5

Short Answer

Expert verified

The equationv鈭�2=鈭�5 has an empty solution set as 蠒.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b鈮�0, thena=b or a=鈭�b.

02

Step-2. Observe the equation.

In the given equation, v鈭�2=鈭�5, the distance between v and -2 is negative, that is., -5, which is not possible as distance can never be negative.

03

Step-3. State the conclusion.

Since, distance is a non-negative quantity, therefore, no value of v would satisfy the equation.

Hence, the solution set will be an empty set for the given equation.

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