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What is a subsets?
A is a subset of a set B if every element of A is also an element of B.
I have to prove if two lines intersect then they intersect in no more than one point I have to assume that lines intersect in MORE than one point i have to prove tht they intersect MORE than 1 wrong?
wrong!
What is an example of a proper subset?
Let A be the set {1,2,3,4} B is {1,2} and B is a proper subset of A C is {1} and C is also a proper subset of A. B and C are proper subsets of the set A because they are strictly contained in A. necessarily excludes at least one member of A. The set A is NOT a proper subset of itself.
Why a null set is subst of every set?
The definition of subset is ; Set A is a subset of set B if every member of A is a member of B. The null set is a subset of every set because every member of the null set is a member of every set. This is true because there are no members of the null set, so anything you say about them is vacuously true.
How do perpendicular differ from intersecting lines?
Perpendicular lines are a subset of intersecting lines. The only difference is that perpendicular lines intersect at an angle of 90o, whereas intersecting lines can converge at any angle.
