Test: Number Set Theory - SAT MCQ

The set S consists of the square of an integer less than 10.

The set of positive integers is not finite.

Set S of odd positive an odd integer less than 10 is {1, 3, 5, 7, 9}. Then, Cardinality of set S = |S| which is 5.

A subset R of the Cartesian product A x B is a relation from the set A to the set B.

Odd numbers less than 10 is {1, 3, 5, 7, 9}.

Power set P ({0, 1, 2}) is the set of all subsets of {0, 1, 2}. Hence, P({0, 1, 2}) = {null, {0}, {1}, {2}, {0, 1}, {0,2}, {1, 2}, {0, 1, 2}}.

Two set are equal if and only if they have the same elements.

Let A = {1, 2} and B = {a, b}. The Cartesian product A x B = {(1, a), (1, b), (2, a), (2, b)} and the Cartesian product B x A = {(a, 1), (a, 2), (b, 1), (b, 2)}. This is not equal to A x B.

Power set of null set has exactly one subset which is empty set.

By the definition of set.