**How to Write Elements of Given set From Venn Diagram ?**

Here we are going to see how to write elements of given set from venn diagram.

**Question 1 :**

Using the given Venn diagram, write the elements of

(i) A (ii) B (iii) A∪B (iv) A∩B

(v) A–B (vi) B–A (vii) A′ (viii) B′

(ix) U

**Solution :**

(i) We have to write the elements in the circle A.

A = {2, 4, 7, 8, 10}

(ii) We have to write the elements in the circle B.

B = {3, 4, 6, 7, 9, 11}

(iii) A U B means the elements in both circles.

A U B = {2, 3, 4, 6, 7, 8, 9, 10, 11}

(iv) A ∩ B means the common elements of both sets A and B.

A∩B = {4, 7}

(v) A – B

A - B = {2, 8, 10}

(vi) B – A

B - A = {3, 6, 9, 11}

(vii) A' = {1, 3, 6, 9, 11, 12}

(viii) B′ = {1, 2, 8, 10, 12}

(ix) U = {1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12}

(2) Find A∪B, A∩B, A–B and B–A for the following sets.

(i) A = {2, 6, 10, 14} and B = {2, 5, 14, 16}

**Solution :**

AUB = {2, 4, 5, 6, 10, 14, 16}

A n B = {2, 14}

A - B = {6, 10}

B - A = {5, 16}

(ii) A = {a, b, c, e, u} and B = {a, e, i, o, u}

**Solution :**

AUB = {a, b, c, e, i, o, u }

A n B = {a, e, u}

A - B = {b, c}

B - A = { i, o}

(iii) A = {x : x ∈N, x ≤ 10} and B = {x : x ∈W, x < 6}

**Solution :**

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

B = {0, 1, 2, 3, 4, 5}

AUB = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A n B = { 1, 2, 3, 4, 5}

A - B = {6, 7, 8, 9, 10}

B - A = {0}

(iv) A= Set of all letters in the word “mathematics” and

B = Set of all letters in the word “geometry”

**Solution :**

A = {m, a, t, h, e, i, c, s }

B = {g, e, o, m, e, t, r, y}

AUB = {m, a, t, h, e, i, c, s, g, o, r, y}

A n B = { m, t, e}

A - B = {a, h, i, c , s}

B - A = {g, o, r, y}

After having gone through the stuff given above, we hope that the students would have understood, "How to Write Elements of Given set From Venn Diagram".

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