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Chapter 0: Problem 62

Evaluate each algebraic expression for x = 2 and y = -5. $$|x-y|$$

Short Answer

Expert verified
The value of \(|x - y|\) for \(x = 2\) and \(y = -5\) is 7.

Step by step solution

01

Substituting the Values

First, substitute the given values for x and y into the expression. This replaces 'x' with 2 and 'y' with -5. So, the expression |x-y| becomes |2 - (-5)|.
02

Simplify the Expression

Then, calculate the expression inside the absolute value symbols. Here 2 - (-5) simplifies to 2 + 5, which gives 7.
03

Apply the Absolute Value

Finally, apply the absolute value operation. The absolute value of 7 is 7 because 7 is a positive number. That is, |7| equals 7.

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Most popular questions from this chapter

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