Question

If U = { all whole numbers less than and equal to 20 }.A = {0, 1, 2, 3, …….., 8}, B = {3, 5, 7, 9, 11} and C = {0, 5, 10, 20}, find A ∩ B¹ and A¹ U C¹

Answer 1

Answer:

here the ans

Step-by-step explanation:

U={1,2,3,4,5,6,7,8,9}

A={1,2,3,4}

B={2,4,6,8}

C={3,4,5,6}

(i) A

′

=U−A={5,6,7,8,9}

(ii) B

′

={1,3,5,7,9}

(iii) A∪C={1,2,3,4,5,6}

∴(A∪C)

′

={7,8,9}

(iv) A∪B={1,2,3,4,6,8}

(A∪B)

′

={5,7,9}

(v) We know (A

′

)

′

=A

⇒(A

′

)

′

={1,2,3,4}

(vi) B−C={2,8}

∴(B−C)

′

={1,3,4,5,6,7,9}