Question

If M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M
The members of N
M∪N;
M∩N.

Please show working

Answer 1

Explanation:

M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N;

Answer 2

• M∪N = {1, 2, 3, 4, 5, 6, 7, 11, 12}

• M∩N = {2, 3}

Explanation:

Given

• M = {Prime integers between 1 and 11} and
• N = { factors of 12}

To find

• M∪N
• M∩N

Solution

Sets in full are

• Prime numbers up to 11 ⇒ M = {2, 3, 5, 7, 11}
• Factors of 12 ⇒ N = {1, 2, 3, 4, 6, 12}

Combined set

• M∪N = {1, 2, 3, 4, 5, 6, 7, 11, 12}

Common set

• M∩N = {2, 3}