Question

If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write the lists of all elements of M and N.

Answer 1

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer 2

All elements of the set M in ascending order are:

• 1, 4, 9, 16, 25, 36, 49, 64

All elements of the set N in ascending order are:

• 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28

Explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

• 1, 4, 9, 16, 25, 36, 49, and 64.

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

• 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28.

Therefore:

All elements of the set M in ascending order are:

• 1, 4, 9, 16, 25, 36, 49, 64

All elements of the set N in ascending order are:

• 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28