Are A=The set of vowels in the english Alphabets and B=The set of all letters in the world "VOWEL" equivalent sets?
Answers
Answer:
BOTH SETS ARE EQUIVALENT
Step-by-step explanation:
A= {a, e, i, o, u}
B= {a, e, i, o, u}
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Yes, A and B are equivalent sets
Given :
A = The set of vowels in the english Alphabets
B = The set of all letters in the world "VOWEL"
To find :
To check A and B are equivalent sets or not
Concept :
Equivalent Sets :
Two sets are equivalent if they have the same number of elements
Solution :
Step 1 of 2 :
Find the sets A and B
Here it is given that
A = The set of vowels in the english Alphabets
∴ A = { a , e , i , o , u }
B = The set of all letters in the world "VOWEL"
∴ B = { V , O , W , E , L }
Step 2 of 2 :
Check A and B are equivalent sets or not
Number of elements in A = 5
Number of elements in B = 5
We know that two sets are said to be equivalent sets if they have the same number of elements
Since A and B contains same number of elements
Hence A and B are equivalent sets
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