Mathematics
Find which of the following sets are empty :
(i) The set of points of intersection of two parallel lines.
(ii) A = {x : x ∈ N and 5 < x ≤ 6}.
(iii) B {x : x2 + 4 = 0 and x ∈ N}.
(iv) C = {even numbers between 6 and 10}.
(v) D = {prime numbers between 7 and 11}.
Sets
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Answer
(i) Parallel lines don't intersect, hence their points of intersection is an empty set.
(ii) A = {6}
A ≠ {}
(iii) x2 + 4 = 0
x2 = -4
x =
B = {}
As square root of negative number is undefined,
Hence, B = {}
(iv) C = {6, 8, 10}
C ≠ {}
(v) No prime number between 7 and 11.
D = {}
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