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Do you have the graph of cosine?
Actually, the value of cosine goes down when x goes up
So inequality signs are not only supposed to be flipped when divide by negative number or multiply by negative number??
I thought it was only for the condition i stated above that inequality changes sign!!
Well, there are many conditions in which the inequality changes sign
You aren't multiplying something to the inequality here
Can you enumerate all of them please...
Well, in general, when you apply decreasing functions to both sides of an inequality, it changes signs.
Decreasing functions are those whose graphs go down.
This is a part of the cosine graph
You can see that if \(\cos x > 0.69\), \(x < \ \)something.
Thxs...Is there any other conditions to change the inequality sign? Can you provide a link...
Okay, those functions are called "decreasing functions". I'm searching for a list.
I can't really find a list available...
but how do you know all of them?
I can't know all of them, but in the case of cosine, I know the shape of the cosine graph.