Try this little set puzzle.

For each statement, given below , state whether it is true or false along with the explanations.

( 1 ) {9, 9, 9, 9, 9, ……..} = {9}

( 2 ) {p, q, r, s, t} = {t, s, r, q, p}

( 3 ). The set of letters in the word
‘GOOGLE’ = {G, O, L, E}

( 4 ) Set
A = {5, 6, 7, 6, 8, 5, 9} = {5, 6,7, 8, 9}

( 5 ) U = {letters of the word ‘COMMITTEE’}; then U= {C, O, M, T, E}

A {x : x ∈ N, x < 5}

( 6) A = {1, 2, 3, 4}Therefore, n(A) = 4

( 7 ) •B = set of letters in the word ALGEBRAB = {A, L, G, E, B, R}Therefore, n(B) = 6

( 8 ) A = {x : x is neither prime nor composite}
It is a singleton set containing one element.

( 9 ) B = {x : x is a whole number, x < 1}This set contains only one element 0 and is a singleton set.

( 10. )A = {x : x ∈ N and x² = 4}

Here A is a singleton set because there is only one element 2 whose square is 4.•

(11). Let B = {x : x is a even prime number}Here B is a singleton set because there is only one prime number which is even, i.e., 2.