QUESTION:

U= {……-3,-2,-1, 0, 1, 2, 3…}

A= {1, 2, 3, 4, 5}

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

Solution:

〖{AUB}〗^C

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

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

〖{AUB}〗^C={ 1,2,3,4,5,6,7,8} –{……-3, -2, -1, 0, 1, 2, 3,….}

〖{AUB}〗^C= {…, -3, -2, -1, 0, 9, 10…}

〖{A∩B}〗^C

{A∩B}= {1, 2, 3, 4, 5} ∩ {3, 4, 5, 6, 7, 8}

{A∩B}= {1, 2, 6, 7, 8 }

〖{A∩B}〗^C= {1, 2, 6, 7, 8} – {……-3, -2, -1, 0, 1, 2, 3…}

〖{A∩B}〗^C= {…., -3, -2, -1, 0, 3, 4, 5, 9, 10…}