Question

Evaluate $|-x-y|$ when $x-3$ and $y=-1 .[1.1]$

   Evaluate $|-x-y|$ when $x-3$ and $y=-1 .[1.1]$

Essentials of Precalculus

Essentials of Precalculus

Richard N. Aufmann,… 1st Edition

Chapter 1, Problem 98

Instant Answer

Solved by Expert Julie Silva

07/09/2021

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So, we have $|-3 - (-1)|$. Show more…

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Evaluate $|-x-y|$ when $x-3$ and $y=-1 .[1.1]$

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Key Concepts

Arithmetic Operations with Negative Numbers

Performing arithmetic operations with negative numbers requires careful attention to the rules of addition, subtraction, multiplication, and distribution of negative signs. This is essential when simplifying expressions, especially when dealing with expressions that include multiple negative signs.

Absolute Value

The absolute value of a number represents its distance from zero on the number line without considering its sign. This means that regardless of whether a number is negative or positive, its absolute value is always non-negative.

Substitution

Substitution involves replacing variables in an expression or equation with specific values. This is a fundamental technique in algebra for evaluating expressions and solving equations by using known values.

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