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Absolute Value Videos 12 videos

Introduction to Absolute Value
11925 Views

Check out this video to learn more about absolute value and how it has no patience for negative signs.

Absolute Value Problem
7697 Views

We love doing absolute value problems because it means spending time with our good buddy, the number line. But don’t think we’ve forgotten abou...

Graphing Absolute Value Equations
881 Views

The easy way to remember the look of an absolute value graph is that they are always a V-shape... and “V” stands for value. Or for verisimilitu...

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CAHSEE Math 2.1 Algebra I 209 Views


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Description:

CAHSEE Math 2.1 Algebra I. What is the solution set for the equation?

Language:
English Language

Transcript

00:03

Here’s an unshmoopy question you’ll find on the exam somewhere you take in life...

00:07

at some point… Good luck.

00:10

What is the solution set for the equation…

00:12

the absolute value of x minus 2 equals the absolute value of x plus 3?

00:17

And here are the potential answers...

00:23

So… what is this question asking?

00:24

Well, since this is an absolute value calculation, let’s start by just putting the absolute

00:29

value thingies into 4 buckets:

00:33

(x - 2) = (x + 3)

00:35

-(x - 2) = (x + 3)

00:38

(x - 2) = -(x + 3),

00:42

and -(x - 2) = -(x + 3).

00:54

The first and last… as well as the 2nd and 3rd… equations are identical once simplified…

00:59

…so there are actually two versions that require solving:

01:02

x - 2 = x + 3… and -x + 2 = x + 3.

01:08

In the first equation, the x's cancel, which results in no solution…

01:12

…while the second becomes -2x = 1, or x equals negative one-half.

01:18

So answer A is our guy. As in, “Absolutely fabulous.”

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