Question

6. U = {1, 2, 3, 4, 5, ..., 12)

A = {x / x is a composite number, x< 10}

B = {x / x is an even number, x <= 12}


Verify De Morgan's laws using the above sets.​

Answer 1

Answer:

A={4,6,8,9}

B={2,4,6,8,10,12}

de morgans law

(AuB) '=A'nB'

A'={1,2,3,5,7,10,11,12}

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

AuB={2,4,6,8,9,10 12}

(AuB) '={1,3,5,7,11}

A'nB'={1,3,5,7,11} pooved

similarly u also prove

(AnB)'=A'uB'...