Question

Let A={x:x is a prime number less than 50} B = {x:x is an odd number less than 50} Find A-B with the help of venn diagram.​

Answer 1

Step-by-step explanation:

• A = {x : x is a prime number less than 50} = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}

• B = {x : x is an odd number less than 50} = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49}

Understanding A - B :

• The mathematical set term (A - B) is defined by the elements that are in A, but not in B.

• Let, x ∈ A - B. Then x ∈ A and x ∉ B.

Here we see that the only term that belongs to A and not in B is {2}.

Hence A - B = {2}.

[ Refer to the attachment for the Venn diagram. ]

NOTE:

• Common elements: Write 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47 in it.

• Uncommon elements: Write 1, 9, 15, 21, 25, 27, 33, 35, 39, 45 and 49 in it.