Question

Q. 1. a) If U ={ 1,2,3,4,5,6,7,8}, A={1,2,5,6},B={2,3,6,7,8} State and prove both DeMorgan’s law b) Explain the difference of two sets with the help of example and venn diagram​

Answer 1

Step-by-step explanation:

Why does a cell stop producing electricity after some time?

Answer 2

Answer:

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

A={2,4,6,8}

B={2,3,5,7}

(i) (A∪B)

′

={2,3,4,5,6,7,8}

′

={1,9}

A

′

∩B

′

={1,3,5,7,9}∩{1,4,6,8,9}={1,9}

∴(A∪B)

′

=A

′

∩B

′

(ii) (A∩B)

′

={2}

′

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

A

′

∪B

′

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

∴(A∩B)

′

=A

′

∪B

′