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OpenStudy (helpwithfunctions):
I have this question solved, I just want to make sure I can do other functions. Y = -|2x| =3
OpenStudy (thecatman):
absolute value
TheSmartOne (thesmartone):
There are two equal signs?
OpenStudy (helpwithfunctions):
That's what the teacher showed, I don't really understand it.
OpenStudy (helpwithfunctions):
Wait
no. Don't count the first one. The problem is -|2x| = 3
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TheSmartOne (thesmartone):
Basically
If |x| = a
then x = a, and x = -a
TheSmartOne (thesmartone):
You would first start by dividing both sides by -1 and then doing what I said above. :)
OpenStudy (helpwithfunctions):
And then what? How do I know I have the right answer?
TheSmartOne (thesmartone):
you can plug it in :)
any negative number inside of | | becomes positive
for example |-5| = 5
all positive numbers remain positive so |5| = 5
OpenStudy (helpwithfunctions):
So then what does the =3 have to do with my problem? -|2x| = 3
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OpenStudy (helpwithfunctions):
Does that make the answer to "-|2x| = 3" 2?
TheSmartOne (thesmartone):
No, it is an equation
For example
-|3x| = -6
|3x| = 6
3x = 6 and 3x = -6
x = 2 and x = -2
BUT remember that the absolute value of something cannot equal a negative number. If you have a question like that, it means there is no solution