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Q1 of 145 Page 9

Which of the following are examples of the null set?

E = {x : x ϵ W, x + 3 ≤ 3}.


Whole numbers = 0, 1, 2, 3, …


If we take x = 0 then x + 3 = 0 + 3 = 3


If we take x = 1 then x + 3 = 1 + 3 = 4 > 3


So, 0 is the element of set E because it satisfies the given equation.


∴ It is not a null set.


More from this chapter

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Which of the following are examples of the null set?

C = {x : x is prime, 90 < x < 96}.


1

Which of the following are examples of the null set?

D = {x : x ϵ N, x2 + 1 = 0}.


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Which of the following are examples of the null set?

F = {x : x ϵ Q, 1 < x < 2}.


1

Which of the following are examples of the null set?

G = {0}


Questions · 145
1. Sets
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