Changing the Inequality (1 Viewer)

[TAZ33]

I still cant seem to remember the conditions that will require you to change the inequality sign in an inequation. I remember that one was if you divide/multiply by a negative but i'm sure there woz more.

 

[pLuvia]

If you're not sure about the sign just test points

 

[Riviet]

I still cant seem to remember the conditions that will require you to change the inequality sign in an inequation. I remember that one was if you divide/multiply by a negative but i'm sure there woz more.

Well the only other one that I'm aware of is when swapping the inequality around, for example:
(x-1)² > -(x-1)²

If you want to swap the two sides around, you have to also reverse the inequality:

-(x-1)² < (x-1)²

 

[onebytwo]

dont forget the reciprocals too
3<4<5 when taking reciprocals 1/3>1/4>1/5

 

[Porcia]

and logs where a<1