Question

If A = {x:x € N and x < 15} and B= (x:x € N and x < 3},
then find A-B and write it in the set builder form.​

Answer 1

Required Answer:-

Given:

• A = {x : x ∈ N and x < 15}
• B = {x : x ∈ N and x < 3}

To Find:

• A - B

Solution:

To solve this question, let us write all the elements of each set.

→ A = {x : x ∈ N and x < 15}

→ A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

→ B = {x : x ∈ N and x < 3}

→ B = {1, 2}

So, A - B refers to the elements that are in set A but not in set B.

So,

→ A - B = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

Using set builder notation,

→ A - B = {x : x ∈ N, 3 ≤ x ≤ 14}

Answer:

• A - B = {x : x ∈ N, 3 ≤ x ≤ 14}

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