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Standard XII

Mathematics

Intersection

Let U= x:...

Question

Let $U =$ { $x : x$ is a positive integer less than 50 } , $A =$ { $x : x$ is divisible by 4 } and
$B =$ { $x : x$ leaves a remainder 2 when divided by 14 }.
(i) List the elements of $U, A$ and $B$
(ii) Find $A \cup B, A \cap B, n (A \cup B), n (A \cap B)$

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Solution

(i) $U = {1, 2, 3 . . . 49}, A = {4, 8, 12, 16, 20, 24, 28, 30, 32, 36, 40, 44, 48}, B = {16, 30, 44}$
(ii) $A \cup B = {4, 8, 12, 16, 20, 24, 28, 30, 32, 36, 40, 44, 48}, A \cap B = {16, 44}, n (A \cup B) = 13, n (A \cap B) = 2$

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Let U= { x:x is a positive integer less than 50 } , A= { x:x is divisible by 4 } and B= { x:x leaves a remainder 2 when divided by 14 }.(i) List the elements of U,A and B(ii) Find A∪B,A∩B,n(A∪B),n(A∩B)

(i) U={1,2,3...49},A={4,8,12,16,20,24,28,30,32,36,40,44,48},B={16,30,44}(ii) A∪B={4,8,12,16,20,24,28,30,32,36,40,44,48},A∩B={16,44},n(A∪B)=13,n(A∩B)=2

Let $U =$ { $x : x$ is a positive integer less than 50 } , $A =$ { $x : x$ is divisible by 4 } and
$B =$ { $x : x$ leaves a remainder 2 when divided by 14 }.
(i) List the elements of $U, A$ and $B$
(ii) Find $A \cup B, A \cap B, n (A \cup B), n (A \cap B)$

(i) $U = {1, 2, 3 . . . 49}, A = {4, 8, 12, 16, 20, 24, 28, 30, 32, 36, 40, 44, 48}, B = {16, 30, 44}$
(ii) $A \cup B = {4, 8, 12, 16, 20, 24, 28, 30, 32, 36, 40, 44, 48}, A \cap B = {16, 44}, n (A \cup B) = 13, n (A \cap B) = 2$