From the adjoining Venn diagram- find the following sets-i Pii Qiii -iv P-v Q-vi P- Qvii P- Qviii P- Q -ix P- Q -

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Standard VII

Mathematics

Cardinality of Sets

From the adjo...

Question

From the adjoining Venn diagram, find the following sets:
(i) $P$
(ii) $Q$
(iii) $ξ$
(iv) $P^{'}$
(v) $Q^{'}$
(vi) $P \cup Q$
(vii) $P \cap Q$
(viii) ${(P \cup Q)}^{'}$
(ix) ${(P \cap Q)}^{'}$

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Solution

From the given Venn diagram, we have,
(i) $P = {a, b, d, e, f, g, h, i}$
(ii) $Q = {b, d, e}$
(iii) $ξ = {a, b, c, d, e, f, g, h, i, j}$
(iv) $P^{'} = {c, j}$
$(v) Q^{'} = {a, c, f, g, h, i, j}$
(vi) $P \cup Q = {a, b, d, e, f, g, h, i}$
(vii) $P \cap Q = {b, d, e}$
(viii) $(P \cup Q)^{'} = {c, j}$
(ix) $P \cap Q)^{'} = {a, c, f, g, h, i, j}$

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$(I V) p \to Cenozoic,q \to Palaeozoic, r \to Jurassic, s \to Mesozoic$

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From the adjoining Venn diagram, find the following sets:(i) P(ii) Q(iii) ξ(iv)P′(v)Q′(vi) P∪Q(vii) P∩Q(viii)(P∪Q)′(ix) (P∩Q)′

From the given Venn diagram, we have,(i) P={a,b,d,e,f,g,h,i}(ii) Q={b,d,e}(iii) ξ={a,b,c,d,e,f,g,h,i,j}(iv) P′={c,j}(v)Q′={a,c,f,g,h,i,j}(vi) P∪Q={a,b,d,e,f,g,h,i}(vii) P∩Q={b,d,e}(viii) (P∪Q)′={c,j}(ix) P∩Q)′={a,c,f,g,h,i,j}

From the adjoining Venn diagram, find the following sets:
(i) $P$
(ii) $Q$
(iii) $ξ$
(iv) $P^{'}$
(v) $Q^{'}$
(vi) $P \cup Q$
(vii) $P \cap Q$
(viii) ${(P \cup Q)}^{'}$
(ix) ${(P \cap Q)}^{'}$