Draw appropriate Venn diagrams for each of the following -i A - B-ii A - B -iii A - B -iv A - B -

(i) The Venn diagram for (A∪ B)'. The shaded portion represents (A∪ B)'.. (ii) The Venn diagram for A'∩B'. The shaded portion represents A'∩B'. (iii) The V ...

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Byju's Answer

Standard VII

Mathematics

Cardinality of Sets

Draw appropri...

Question

Draw appropriate Venn diagrams for each of the following :

(i) $(A \cup B)^{'}$ (ii) $A^{'} \cap B^{'}$

(iii) $(A \cap B)^{'}$ (iv) $A^{'} \cup B^{'}$

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Solution

(i) The Venn diagram for $(A \cup B)^{'} .$ The shaded portion represents $(A \cup B)^{'} .$ .

(ii) The Venn diagram for $A^{'} \cap B^{'} .$ The shaded portion represents $A^{'} \cap B^{'} .$

(iii) The Venn diagram for $(A \cap B)^{'} .$ The shaded portion represents $(A \cap B)^{'} .$

(iv) The Venn diagram for $A^{'} \cup B^{'} .$ The shaded portion represents $A^{'} \cup B^{'} .$

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Draw appropriate Venn diagram for each of the following:

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Q. Draw the appropriate Venn diagram for

A^{'} \cap B^{'}

Q. Draw appropriate Venn diagram for each of the following: (i) (ii) (iii) (iv)

From the given diagram, find :

$(i) A^{'} (i i) B^{'} (i i i) A^{'} \cup B^{'} (i v) (A \cap B)^{'}$

$Is A^{'} \cup B^{'} = (A \cup B)^{'} ? Also, verify if A^{'} \cap B^{'} = (A \cup B)^{'} .$

Two sets A and B are such that A $\cap B = ϕ$ . Draw a venn-diagram to show the relationship between A and B. Shade the region representing :

(i) A $\cup$ B

(ii) (A $\cup$ B)'

(iii) B - A

(iv) B $\cap$ A'

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Draw appropriate Venn diagrams for each of the following : (i) (A∪B)′ (ii) A′∩B′ (iii) (A∩B)′ (iv) A′∪B′

Draw appropriate Venn diagrams for each of the following :

(i) $(A \cup B)^{'}$ (ii) $A^{'} \cap B^{'}$

(iii) $(A \cap B)^{'}$ (iv) $A^{'} \cup B^{'}$