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Mathematics 12 Online
OpenStudy (anonymous):

I have a list of four equations. I need to find which one has no solution. They are : -4|x|=20 -3|x|=-15 3|x|=0 4|x|=4

OpenStudy (sleepyhead314):

|x| = (something) becomes x = (something) and x = - (something)

OpenStudy (holly00d1248):

C because anything divided into 0 is incomplete

OpenStudy (anonymous):

Right.

OpenStudy (sleepyhead314):

oh right it's not c

OpenStudy (sleepyhead314):

an absolute value cannot equal a negative number

OpenStudy (holly00d1248):

good

OpenStudy (sleepyhead314):

while for C, 0 divided by a number still equals 0 which is real

OpenStudy (anonymous):

Okay. I'm confused.

OpenStudy (anonymous):

@iGreen. @Holly00d1248 keeps giving answers.

OpenStudy (chosenmatt):

[s]hi[/s]

OpenStudy (sleepyhead314):

sorry, I probably phrased that weird I was saying that the answer is NOT C because a 0 divided by a number still equals 0 which is an actual number

OpenStudy (holly00d1248):

No IM not giving anwsers im explaining

OpenStudy (anonymous):

Oh. Okay.

OpenStudy (sleepyhead314):

you answer will be the one where |x| = negative number because an absolute value cannot equal a negative number

OpenStudy (anonymous):

Okay. That makes sense. Thank you.

OpenStudy (anonymous):

Explain without giving answers.

OpenStudy (sleepyhead314):

take a guess when you think you're right @Dlwillis and I'll help to confirm :)

OpenStudy (anonymous):

Okay. Well it'd have to be -4|x|=20. right? because once you divide 20 by -4 you get -5 which would be your answer. right?

OpenStudy (sleepyhead314):

-4|x| = 20 is correct :)

OpenStudy (anonymous):

Thank you. :)

OpenStudy (anonymous):

I appreciate you working the problem with me. If that makes sense.

OpenStudy (holly00d1248):

Go @sleepyhead314

OpenStudy (sleepyhead314):

of course ^_^ I'm glad I could help :D

OpenStudy (anonymous):

what about A?

OpenStudy (anonymous):

A is the correct Answer.

OpenStudy (anonymous):

\[\left| x \right| ~is~always~positive.\] when \[\left| x \right|~multiplied ~by~-3~the~quantity~should~be~negative.\]

OpenStudy (anonymous):

What do you mean?

OpenStudy (anonymous):

\[-3\left| x \right|=negative~number.\]

OpenStudy (anonymous):

Oh. Okay. Yeah.

OpenStudy (anonymous):

-4|x|=20 |x|=-5 -3|x|=-15 |x|=5 The first one has a negative answer where the second one doesn't.

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