Question

B) If U = { a, b, c, d, e, f, g, h), find the complements of the following sets :
(1) A = {a,b,c} (ii) B = {d, e, f,g}
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Answer 1

Answer:

(1)Complement of set A = {d, e, f, g, h} and

(ii)Complement of set B = {a, b, c, h}

Step-by-step explanation:

Explanation:

Any set's complement is denoted by the letters A', B', C', etc. To put it another way, if the universal set (U) and the subset of the universal set (A) are both given, then the complement of the subset, A' = U - A, is the difference between the universal set (U) and the subset of the universal set.

Step 1:

Now, Given in the question that, U = {a, b, c, d, e, f, g, h} , A = {a, b, c} and B = {d, e, f, g}

Therefore,

A' = U - A = {(a, b, c, d, e, f, g, h)-(a, b, c)}

A' = {d, e, f, g, h}

And B'= U- B = {(a, b, c, d, e, f, g, h)-(d, e, f, g)}

B' = {a, b, c, h}

Final answer:

Hence, complements of set A is( A')={d, e, f, g, h} and

complements of set B (B') = {a, b, c, h}.

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Answer 2

Answer:

(1) A′={d,e,f,g,h}

(ii) B′={a,b,c,h}

Step-by-step explanation:

Let a set be A and its complement set A'

A' = U - A

that is all the elements of Universal set which are not in  A

If A = {a,b,c}

then its complements

A' = {d,e,f,g,h}

(1)A′={d,e,f,g,h}

If B = {d, e, f,g}

then its complement will be all element in U which are not in B

B' =  {a,b,c,h}

(ii) B′={a,b,c,h}

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