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Description:
CAHSEE Math 2.1 Algebra I. What is the solution set for the equation?
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...
Full Transcript
- 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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