Answer :

i. A = {2, 4, 6, 8}


B = {x : x is an even number < 10, x }


B contains even natural numbers that are less than 10.


B = {2, 4, 6, 8}


A B = {2, 4, 6, 8} [elements that are present in both A and B]


A B ≠ Φ


A and B are not disjoint sets.


ii. X = {1, 3, 5, 7, 9}


Y = {0, 2, 4, 6, 8, 10}


X Y = Φ [elements that are present in both X and Y]


X and Y are disjoint sets.


iii. P = {x : x is a prime < 15}


P contains the prime numbers less than 15.


P = {2, 3, 5, 7, 11, 13}


Q = {x : x is a multiple of 2 and x < 16}


Q contains the numbers that are less than 16 and multiple of 2.


Q = {…-2, 0, 2, 4, 6, 8, 10, 12, 14}


P Q = {2} [elements that are present in both P and Q]


P Q ≠ Φ


P and Q are not disjoint sets.


iv. R = {a, b, c, d, e}


S = {d, e, a, b, c}


R S = {d, e} [elements that are present in both R and S]


R S ≠ Φ


R and S are not disjoint sets.


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