PDF chapter test TRY NOW

1. Which of the following sets are equivalent or unequal or equal sets?
 
\(A\) \(=\) The set of vowels in the English alphabets.
 
\(B =\) The set of all letters in the word "VOWEL".
 
 
(ii) \(C = \{2, 3, 4, 5\}\), \(D = \{x : x ∈\mathbb{W}, 1< x<5\}\)
 
 
(iii) \(X =\) The set of \(A\) \(=\) \(\{ x : x\) is a letter in the word "LIFE"\(\}\)
 
 \(Y = \{F, I, L, E\}\)
 
 
(iv) \(G = \{x : x\) is a prime number and \(3 < x < 23\}\),
 
\(H = \{x : x\) is a divisor of \(18\)\(\}\)
 
 
 
2. Identify the following sets as null set or singleton set.
 
(i) \(A = \{x : x ∈ \mathbb{N}, 1 < x < 2\}\)
 
(ii) \(B =\) The set of all even natural numbers which are not divisible by\(2\).
 
 
(iii) \(C = \{0\}\).
 
(iv) \(D =\) The set of all triangles having four sides.