If A = {x : x is a natural number } B = {x : x is an even number} C =

1.	If A = {x : x is a natural number } B = {x : x is an even number} C = {x : x is an odd number } D = {x : x is a prime number} then find A∪B,A∩C,B∩C and B ∩ D. Wbat do you notice ?
Answer» A = {x : x is a natural number} = {1,2,3, , } B = {x : x is an even number} = {2,4,6, } C = {x : x is an odd number} . = {1,3,5, …} D = {x : x is a prime number = {2,3,5, } A ∪ B = {1, 2, 3 …………}{2, 4, 6……………. } = {1,2,3……………} A ∩ C = {1, 2, 3…………. } ∩ {1, 3, 5………….. } = {1, 3, 5………….. } B ∩ C = {2,4,6……. }∩{1,3,5……….. } = {} = ø B ∩ D = {2,4,6,…} ∩ {2,3,5,…} = {2} Noticed that A∪ B = A A ∩ C = C

If A = {x : x is a natural number } B = {x : x is an even number} C = {x : x is an odd number } D = {x : x is a prime number} then find A∪B,A∩C,B∩C and B ∩ D. Wbat do you notice ?

Answer»

A = {x : x is a natural number} = {1,2,3, , }

B = {x : x is an even number} = {2,4,6, }

C = {x : x is an odd number} . = {1,3,5, …}

D = {x : x is a prime number = {2,3,5, }

A ∪ B = {1, 2, 3 …………}{2, 4, 6……………. } = {1,2,3……………}

A ∩ C = {1, 2, 3…………. } ∩ {1, 3, 5………….. } = {1, 3, 5………….. }

B ∩ C = {2,4,6……. }∩{1,3,5……….. } = {} = ø

B ∩ D = {2,4,6,…} ∩ {2,3,5,…} = {2}

Noticed that A∪ B = A

A ∩ C = C