Check whether the given set is empty or not :

(i) Set of counting numbers between $5$ and $6$ .

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Solution

A set that has no elements is said to be an empty set.

There is no counting number between $5$ and $6$

Hence, the given set is empty.

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Similar questions

Find, which of the following sets are empty:

(i)The set of points of intersection of two parallel lines.

(ii) $A = {x : x \in N a n d 5 < x \leq 6}$

(iii) $B = {x : x^{2} + 4 = 0, x \in N}$

(iv) $C = {e v e n n u m b e r s b e t w e e n 6 & 10}$

(v) $D = {p r i m e n u m b e r s b e t w e e n 7 & 11}$

Note : The set, which has no element in it, is called the empty or null set.

{0}

{x : x

x < 5

x > 7}

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