Question

if A={x:x is a prime number less than 15} B={x:x is an even number less than 10} find AUB​

Answer 1

Answer:

AUB=(2,3,4,5,6,7,8,11,13)

Answer 2

SOLUTION

GIVEN

A = { x : x is a prime number less than 15 }

B = { x : x is an even number less than 10 }

TO DETERMINE

The set AUB

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Here it is given that

A = { x : x is a prime number less than 15 }

So we have

A = { 2 , 3 , 5 , 7 , 11 , 13 }

B = { x : x is an even number less than 10 }

So we have

B = { 2 , 4 , 6 , 8 }

Hence we get

A U B

= { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 11 , 13 }

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