Q14 of 71 Page 14

Let X = {−3, −2, −1, 0, 1, 2} and Y = {x : x is an integer and −3 ≤ x < 2}

i. Is X a subset of Y?


ii. Is Y a subset of X?

X = {−3, −2, −1, 0, 1, 2}

Clearly Y= {−3, −2, −1, 0, 1} since ‘2’ is not included in the condition.


Here Y has less number of elements when compared to X. so, Y can be subset of X (or) may not be a subset.


On observing,


i. X is not a subset of Y


Because X has more number of elements than Y, it is not possible to form subset according to our theory.


ii. Y is a subset of X


iii. Because Y has less number of elements when compared to X. Also, X has all the elements of Y. therefore Y is a subset of X.


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