First slide

Operations on Sets

Question

if $A = {x : x \in I, - 2 \leq x \leq 2},$ $B = {x \in I, 0 \leq x \leq 3}, C = {x : x \in N, 1 \leq x \leq 2}$ and $D = {x, y) \in N \times N; x + y = 8}$ Then.

Moderate

A

$n (A \cup (B \cup C) = 5$
B

$n (D) = 6$
C

$n (B \cup C) = 5$
D

none of these

Solution

A = {– 2, – 1, 0, 1, 2}, B = {0, 1, 2, 3}, C = {1, 2}
so $B \cup C = {0, 1, 2, 3}$
$A \cup (B \cup C) = {- 2, - 1, 0, 1, 2, 3}$
so $n (A \cup (B \cup C) = 6, n (B \cup C) = 4$
and D = {(1, 7), (2, 6), (3, 5), (4, 4), (5,3), (6, 2), (7, 1)}
so n(D) = 7.

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