Draw the Venn Diagram to represent the sets P = {a,b,c,d},
Q = {b.d,a,e} and R = {a,c,d,f} please help me
Answers
Answer:
We have, A = {a , b, c, d, e}, B = {c, d, e, f }, C = {b, d}, D = {a, e}
(i) Since, b∈C but b∉B
So, C ⊆ B is false.
(ii) Since, b∈A but b∉D
So, A ⊆ D is false.
(iii) Since, a∈D but a∉B
So, D ⊆ B is false.
(iv) Since, all elements of set D is in set A.
So, D ⊆ A is true.
(v) Since, f∈B but f∉A
So, B ⊆ A is false.
(vi) Since, all elements of set C is in set A.
So, C ⊆ A
SOLUTION
TO DETERMINE
Draw the Venn Diagram to represent the sets
P = {a,b,c,d} , Q = {b, d,a,e} and R = {a,c,d,f}
EVALUATION
Here the given sets are
P = {a,b,c,d}
Q = {b, d,a,e} = { a, b, d, e}
R = {a,c,d,f}
Now
P ∩ Q = { a, b, d}
Q ∩ R = {a, d}
P ∩ R = { a, c, d}
P ∩ Q ∩ R = { a, d}
Venn diagram : Venn diagram is referred to the attachment
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