Question

If A = { x:x = 3n – 1,n ἐ N , n<=5},

B = { x:x is an odd natural number and x<15} and

C = { x:x = 4n ,n ἐ N , n<7} find

i .A U B ii. A ∩ B iii. A ∩ C iv. B ∩ C​

Answer 1

Answer:

          A∪B = {1, 2, 3, 5, 7, 8, 9, 11, 13}

           A∩B = {5,11}

           A∩C = { 8}

           B∩C={ } = Ф

Step-by-step explanation:

Given A = { x: x= 3n-1, n∈N, n<5 }

          A= { 2, 5, 8, 11}  

[ n= 1⇒ x= 3(1)-1= 2, n=2⇒x= 3(2)-1=5 like that we will calculate up to n=4]

          B = { x:x is an odd natural number and x< 15}

          B ={ 1, 3, 5, 7, 9, 11, 13 }

          C = { x: x=4n, n∈ N, n< 7}

          C= { 4, 8, 12, 16, 20, 24 }

           A∪B = {1, 2, 3, 5, 7, 8, 9, 11, 13}

           A∩B = {5,11}

           A∩C = { 8}

           B∩C={ } = Ф