Question

Given set A = {x l x ∈ N and x > 2}, and set B = {x l x > 2}; explain the difference between set A and set B

Answer 1

A natural number is a number that is a whole, non-negative number. The set of natural numbers, denoted N, can be defined as:

N = {0, 1, 2, 3, ...}

Now we are given two sets A and B:

A = {x l x ∈ N and x > 2}, and set B = {x l x > 2};

So the difference between the two sets is :

Set A is the set of all natural numbers greater than 2

Set B is the set of all positive numbers greater than 2, including fractional numbers.