Relations and Functions

Relations and Functions

Question

Which of the following are examples of null set?

{ y : y is a point common to any two parallel lines}

Answer

Let                   E (y : y is a point common to any two parallel lines)
Two parallel lines do not meet and as such have no common point.
rightwards double arrow               space space space space space straight E space space equals space open curly brackets space space close curly brackets space space equals space straight ϕ
Hence,  E is a null set.

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