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Standard VIII

Mathematics

Interesting Patterns

If A = 1, 2, ...

Question

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Find A ∪ B ∪ C.
$[2 M a r k s]$

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Solution

Given:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6}
C = {5, 6, 7, 8}
$[1 M a r k]$
A ∪ B ∪ C will be the combination of all element of Set A , Set B and Set C without repeating any element.

Hence:
A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}
$[1 M a r k]$

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(1)

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(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7}, find

(i) A′ ∪ (B ∩ C′)

(ii) (B – A) ∪ (A – C)
$[3 M a r k s]$

Q. If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Find A ∪ B ∪ C.

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & a . {3, 4, 6, 7} 2. A \cap B & b . \emptyset 3. (B \cap C) \cup D & c . {3, 4} 4. B \cup C \cup D & d . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & e . {1, 2, 3, 4, 5, 6, 7} f . {6, 7, 8, 9, 10} g . {7} \end{matrix}$

Q. If

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

B = {2, 4, 6, 7}

and

C = {2, 3, 4, 8}

. Then

(ii)

(C - A)^{'}

= ____

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If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Find A ∪ B ∪ C. [2 Marks]

Given: A = {1, 2, 3, 4} B = {3, 4, 5, 6} C = {5, 6, 7, 8} [1 Mark] A ∪ B ∪ C will be the combination of all element of Set A , Set B and Set C without repeating any element. Hence: A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8} [1 Mark]

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}. Find A ∪ B ∪ C.
$[2 M a r k s]$

Given:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6}
C = {5, 6, 7, 8}
$[1 M a r k]$
A ∪ B ∪ C will be the combination of all element of Set A , Set B and Set C without repeating any element.

Hence:
A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}
$[1 M a r k]$