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The symbol $|x|$ stands for the _________If $x$ is not $0,$ then the sign of $|x|$ is always ________.

"absolute value" and "positive".

Algebra

Chapter 0

Prerequisites

Section 2

Real Numbers

Equations and Inequalities

Missouri State University

Campbell University

McMaster University

Lectures

00:26

The symbol $|x|$ stands fo…

01:09

Fill in the blanks.If …

01:35

Is it always, sometimes, o…

00:43

01:04

Complete the statement wit…

01:48

01:26

Determine whether the stat…

00:52

02:14

If $-1<x<1,$ but $x$…

00:28

$$\begin{array}{l}\text { …

01:58

Write each expression with…

00:54

$$x=|y|$$

00:59

The inequality $|x|>0$ …

05:41

$$\begin{array}{l}{\te…

02:37

Suppose that $x$ represent…

00:27

01:15

00:36

Absolute value Show that $…

00:50

If $a^{-\frac{1}{2}}=x,$ w…

So in this problem, we are dealing with a function that looks like this two bars with some value in between them and going back up to the text on the lesson know that this symbol, these two bars mean that you're going to take the absolute value. So what is the absolute values? The absolute value is saying that if we had some number line where zero point is here and then say what? 123 negative one negative, too negative. Three. This is the positive side of the number line. This is the negative side of our positive life. The absolute value function is basically inputting some value X, and it's going to output the distance from X to the origin. So right here, r, say are ex was for and our absolute value would be 1234 So just for but se r ex was on the negative side. So if our excellent right here, it's the same as the X on this side. It's just negative, though, then our absolute value is going to be the distance from zero. So 1234 also four units. So for the second part of our question. The symbol absolutely of X stands for the absolute value of the new Rex. If X is not zero. So if X is anywhere on the number line besides here, then X is always going to be a positive number. So, like we said, since it's the distance from the origin, nothing can be a negative distance from something. It's always going to be a positive.

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