Question

6.
If A={p,q) and B= {x:X belong to N and x is a prime number less than 6). then find Axb​

Answer 1

SOLUTION

GIVEN

$\sf{}A = \{ \: p, q \: \}$

$\sf{}B = \{x : x \in \mathbb{N} \: and \: x \: is \: a \: prime \: number \: less \: than \: 6 \}$

TO DETERMINE

$\sf{}A \times B$

CONCEPT TO BE IMPLEMENTED

Let A and B are two sets. Then the Cartesian product of A and B are denoted by A × B and defined as

$\sf{}A \times B= \{(a,b) : a \in A \: , b \in \: B \}$

EVALUATION

Here

$\sf{}A = \{ \: p, q \: \}$

$\sf{}B = \{x : x \in \mathbb{N} \: and \: x \: is \: a \: prime \: number \: less \: than \: 6 \}$

$\therefore \sf{}B = \{2, 3, 5\}$

$\sf{}A \times B = \{ (p, 2),(p,3),(p,5),(q,2),(q,3),(q,5) \}$

FINAL ANSWER

$\boxed{ \sf{}A \times B = \{ (p, 2),(p,3),(p,5),(q,2),(q,3),(q,5) \}}$

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LEARN MORE FROM BRAINLY

If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).

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