Question

Fill in the blank with the appropriate symbol $(<,>,=)$. $$|-4|$$ ____ $$|4|$$

Name: Problem 15, Chapter 0: Intermediate Algebra
Uploaded: 2020-06-24T04:37:57-08:00
Duration: 58 s
Channel: Ankit Gupta
Description: Fill in the blank with the appropriate symbol ( ,=). |-4| |4|

   Fill in the blank with the appropriate symbol $(<,>,=)$.
$$|-4|$$ ____ $$|4|$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 0, Problem 15

Instant Answer

Solved by Expert Ankit Gupta

06/24/2020

Step 1

It is always positive or zero, but never negative. Show more…

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Fill in the blank with the appropriate symbol $(<,>,=)$. $$|-4|$$ ____ $$|4|$$

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Key Concepts

Absolute Value

The absolute value of a number is a measure of its distance from zero on the number line, disregarding its sign. It transforms negative numbers into their positive counterparts and leaves positive numbers unchanged.

Equality of Absolute Values

Due to the definition of absolute value, a number and its negation have the same absolute value. This fundamental property implies that for any real number a, |a| equals |?a|.

Comparison Operators

Comparison operators such as less than (<), greater than (>), and equal to (=) are used to describe relationships between numbers. In cases where two expressions evaluate to the same value, the equality symbol (=) is used to denote that they are identical.

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