Question

b) If A = { 1, 2, 3, 4 } ; B = { 3, 4, 5 } and C = { 2, 4, 5 } then verify : [3]
A – (B ∩ C) = (A – B) ∪ (A – C)
a) Given the Universal set = { x : x ∈ N and x ≤ 16 }, find [2]
i) A = { x : x = 2p ; p ∈ N } ii) B = { x : x is divisible by 4 }

Answer 1

Answer:

A=(1,2,3,4)

B=(3,4,5,6)

C=(4,5,6,7,8)

U=(1,2,3,4,5,6,7,8,9,10)

According to DeMorgan's Law

(A∨B)

′

=A

′

∧B

′

A

′

=(∧5,6,7,8,9,10)

B

′

=(1,2,7,8,9,10)

(A∨B)=3,4

(A∨B)

′

=1,2,5,6,7,8,9,10

A

′

∧B

′

=1,2,5,6,7,8,9,10

I want to help u

make me brain list or 5 stars or thanks