Mathematics
Find which of the following sets are singleton sets :
(i) The set of points of intersection of two non-parallel straight lines on the same plane.
(ii) A = {x : 7x - 3 = 11}
(iii) B = {y : 2y + 1 < 3 and y ∈ W}
Sets
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Answer
(i) There will be always one and only point where two non-parallel straight lines meet on the same plane.
Hence, this is a singleton set.
(ii) 7x - 3 = 11
7x = 11 + 3
7x = 14
x =
x = 2
A = {2}. Hence, A is a singleton set.
(iii) 2y + 1 < 3
2y < 3 - 1
2y < 2
y <
y < 1
B = {0}. Hence, B is a singleton set.
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