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Mathematics 10 Online
Zeronknight (zeronknight):

Solve this inequality: * -x < 5 x > 5 x < - 5 x > - 5 x < 5

Zeronknight (zeronknight):

@Astrophysics The -x < 5 are the inequalities, the rest are the answers

Zeronknight (zeronknight):

inequality*

OpenStudy (astrophysics):

When you multiply/ divide by a negative the sign flips

Zeronknight (zeronknight):

Oh, so we multiply -x by 5? So it should be -x > -5?

OpenStudy (astrophysics):

For now forget the inequality, what is -x=5 how do you solve for x

Zeronknight (zeronknight):

I am not entirely sure. :\

OpenStudy (astrophysics):

You can imagine there is a negative 1 there, so -1*x=5

OpenStudy (astrophysics):

So divide both sides by -1, we get x=-5 right?

Zeronknight (zeronknight):

Yes

OpenStudy (astrophysics):

Ok so now we have the inequality, do similar to the equal except flip the sign

Zeronknight (zeronknight):

What do you mean? We have the inequality and we flip the sign...but do similar to what?

Zeronknight (zeronknight):

We flip the sign on -x? so it becomes x > -5?

OpenStudy (astrophysics):

the inequality sign

OpenStudy (astrophysics):

\[-x<5 \implies x>-5\]

OpenStudy (astrophysics):

I meant do the same algebraic procedure that of the equal sign

Zeronknight (zeronknight):

(That off equal sign?) You mean basically flip it?

OpenStudy (astrophysics):

Ok ignore all that, just work with the inequalities, -x<5 we divide both sides by -1 to get x<-5 and then we flip the inequality sign so we get x>-5 because we have divided by a negative

Zeronknight (zeronknight):

Ok, that makes much more sense XD.

Zeronknight (zeronknight):

Thank you for your help! :)

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