Question

A={x/x is a prime number less than 20} B={x/x =2x+1 x€w,x<9} then find AUB AnB A-B B-A​

Answer 1

Answer:

1.1.5 Equal sets Given two sets A and B, if every elements of A is also an ... A – B ={x : x ∈ A and x ∉ B} also, ... (i) A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number}

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Answer 2

Given:

A = {$x:x$ is a prime number less than 20}

B = {$x:x=2x+1,x\epsilon w,x<9$}

To find:

A∪B, A∩B, A - B, B - A

Solution:

The set of A is given by:

$A=\{2,3,5,7,11,13,17,19\}$

which is the set of prime numbers less than 20.

The set of B is given by:

$B=\{1,3,5,7,9,11,13,15,17\}$

where W is the set of whole numbers from $0,1,2,...8$

A∪B is the set of all numbers in set A and set B.

A∪B = {1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19}

A∩B is the set of all common numbers from set A and set B.

A∩B = {3, 5, 7, 11, 13, 17}

A - B is the set of all numbers that are found in set A but not in B.

A - B = {2, 19}

B - A is the set of all numbers that are found in set B but not in set A.

B - A = {1, 9, 15}

A∪B = {1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19}

A∩B = {3, 5, 7, 11, 13, 17}

A - B = {2, 19}

B - A = {1, 9, 15}