Subjective Type

Let U={1,2,3,4,5,6,7,8,9},A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6}. Find (i) A (ii) B (iii) (AC) (iv) (AB) (v) (A) (vi) (BC)

Solution

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=UA={5,6,7,8,9}

(ii) B={1,3,5,7,9}

(iii) AC={1,2,3,4,5,6}
(AC)={7,8,9}

(iv) AB={1,2,3,4,6,8}
(AB)={5,7,9}

(v) We know (A)=A
(A)={1,2,3,4}

(vi) BC={2,8}
(BC)={1,3,4,5,6,7,9}


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