Anonymous
Anonymous asked in Science & MathematicsMathematics · 7 months ago

# Relations definition help - don't understand?

So I'm learning about relations in class but I don't really understand the example in the slide below. Like why is R={(1,1), (1,2), (1,3), (2,2), (3,3)}? Where did those values come from?

What is (a,b) supposed to represent?

Relevance
• 7 months ago

Oh hey look google is there!

The way we frequently describe a relation in writing is using a set of ordered pairs (x,y).

The example was clearly written in a caffeine induced frenzy since they really did not say what a and b are.

a and b are obviously supposed to be any two numbers from the set A.

Since 1 divides 1, then (1, 1) is a pair that obeys the relation so you put it in R.

Since 1 divides 2, then (1, 2) is also such a pair.

Obviously order is important. 2 does not divide 1 hence (2, 1) is not an appropriate pair - we say the relation is not "symmetric".

A relation such as T = { (a,b) | a^2 = b^2 } is symmetric because obviously if a pair (a, b) obeys the relation then so does (b, a)

(-1)^2 = 1^2 and 1^2 = (-1)^2