Question

Defime set. Subset umion of two sety
Intersection of two sets and
Cortesian
product of two set with examples.
Define eouivalence relation pantial and
total order melation with example
prove
that set of geal mumbers is uncountable
and union of countable set is also
countable.​

Answer 1

Answer:

If A and B are two non-empty sets, then their Cartesian product A × B is the set of all ordered pair of elements from A and B.

        A × B = {(x, y) : x ∈ A, y ∈ B}

Suppose, if A and B are two non-empty sets, then the Cartesian product of two sets, A and set B is the set of all ordered pairs (a, b) such that a ∈A and b∈B which is denoted as A × B.

For Example; 

1. If A = {7, 8} and B = {2, 4, 6}, find A × B. 

Solution:

A × B = {(7, 2); (7, 4); (7, 6); (8, 2); (8, 4); (8, 6)} 

The 6 ordered pairs thus formed can represent the position of points in a plane, if a and B are subsets of a set of real numbers

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