Question

let A=(all primes less than 20) B=( all whole numbers less than 10) find 1.AUB 2.A-B 3.B-A 4.(A-B) U (B-A) 5. A-(AUB)
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Answer 1

Step-by-step explanation:

A = ( 2,3,5,7, 11, 13, 17, 19)

B = ( 0,1,2,3,4,5,6,7,8,9)

1.) AUB = ( 2,3,5,7, 11, 13, 17, 19) U ( 0,1,2,3,4,5,6,7,8,9)

AUB =( 0,1,2,3,4,5,6,7,8,9, 11, 13, 17, 19)

2.) A - B = ( 2,3,5,7, 11, 13, 17, 19) - ( 0,1,2,3,4,5,6,7,8,9)

A- B = ( 11, 13, 17, 19)

3.) B - A = ( 0,1,2,3,4,5,6,7,8,9) - ( 2,3,5,7, 11, 13 ,17, 19)

B - A = ( 0,1,4,6,8,9)

4.) (A- B ) U ( B - A)

= ( 11, 13, 17, 19) U ( 0, 1, 4,6, 8, 9)

= ( 0, 1, 4, 6, 8, 9, 11, 13, 17, 19)

5.) A - ( AUB)

= ( 2,3,5,7, 11 ,13, 17, 19) - ( 0, 1,2,3,4,5,6,7,8,9, 11, 13, 17,19)

= Null set