Question

If T={x:X is an integer between 1 and 4} (A) List down the elements of set T in set notation. B write down the number of elements in set T . C list down all the subsets of set T.D separate the proper and improper subsets of T.

Answer 1

The answer is given below

Explanation:

A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}

B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2

C) The subsets of set T are {}, {2}, {3} and {2,3}

D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}

An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}