Solve this inequality: * -x < 5 x > 5 x < - 5 x > - 5 x < 5
@Astrophysics The -x < 5 are the inequalities, the rest are the answers
inequality*
When you multiply/ divide by a negative the sign flips
Oh, so we multiply -x by 5? So it should be -x > -5?
For now forget the inequality, what is -x=5 how do you solve for x
I am not entirely sure. :\
You can imagine there is a negative 1 there, so -1*x=5
So divide both sides by -1, we get x=-5 right?
Yes
Ok so now we have the inequality, do similar to the equal except flip the sign
What do you mean? We have the inequality and we flip the sign...but do similar to what?
We flip the sign on -x? so it becomes x > -5?
the inequality sign
\[-x<5 \implies x>-5\]
I meant do the same algebraic procedure that of the equal sign
(That off equal sign?) You mean basically flip it?
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
Ok, that makes much more sense XD.
Thank you for your help! :)
Join our real-time social learning platform and learn together with your friends!