Question

Which of the following sets are equivalent or unequal or equal sets?
(i) A = The set of vowels in the English alphabets.
B = The set of all letters in the word “VOWEL”
(ii) C = {2,3,4,5}
D = { x : x ∈W, 1< x<5}
(iii) E = The set of A={ x : x is a letter in the word “LIFE”}
F = {F, I, L, E}
(iv) G = {x : x is a prime number and 3 < x < 23}
H = {x : x is a divisor of 18}

Answer 1

Concept :- if A = {1,2,3} and B = {4,5,6}
Then, A and B are equivalent sets [ because number of elements in both sets area same ]
If A = {1,2,3} and B = {1,2,3}
Then, A and B are equal sets [ because both have same elements ]
if A = {1,2} and B = {5,6,7}
Then, A and B are unequal sets [ as you can see both sets are of different nature.]

(1) A = {a, e, i , o, u} and B = {V, O, W, E, L}
Number of elements are same
so, A and B are equivalent sets

(ii) C = {2, 3, 4, 5} and D = {x:x∈W 1 < x < 5} or, D = {2,3,4}
Here it is clear both are unequal sets

(ii) E = {L, I , F , E} and F = {F, I , L, E}
Here is clearly shown that both are equal sets

(ii) G = {5, 7, 11, 13, 17, 19} and H = {1, 2, 3, 6, 9, 18}
Here it is clear that both are equivalent sets

Answer 2

Answer:

i hope you

Step-by-step explanation: