step 1 Can you take the absolute value of something and get a negative number? Absolutely not. Not poss

Question

Solve. $$ |x|=-3 $$

Name: Problem 24, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-05-15T16:08:07-08:00
Duration: 17 s
Channel: Cory Kuzinski
Description: Solve. |x|=-3

   Solve.
$$
|x|=-3
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 8, Problem 24

Instant Answer

Solved by Expert Cory Kuzinski

05/15/2020

Step 1

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

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Solve. $$ |x|=-3 $$

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Key Concepts

Absolute Value Function

The absolute value function measures the distance of a number from zero, and by definition it always produces a nonnegative result. This means that for any real number x, the value |x| is always greater than or equal to zero.

Equation with No Solution

Since the absolute value function cannot yield negative values, setting it equal to a negative number, such as -3, results in an equation that has no solution in the real numbers. Understanding this concept is essential for solving equations involving absolute values.

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