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Question
Dear Sir,
Please solve the following and remove my confusion(s).
1. How a NULL set is a subset of every set? prove it?
Ex. A = {1,2}. So, {1}, {2} and {1,2} are subsets of A. But a null set {} is how a subset of A. When it is not contained any elements.
Please Answer and Thanks in advance.
With LOVE,
mahima
Hello Mahima
I know the following argument may not be convincing enough for you, but just consider it and may be you will come up with a splendid idea.
Assume a universal set containing two disjoint sets A and B; sets with no intersection.
A n B = ø
Which means, these sets have a common set which has no element.
If this set with no element is common to the two sets, it exists in each set.
This leaves us to the fact that this empty set (null set) is a subset of the two sets A and B.
Generally, empty(Null) set is a subset of any set, even itself.
If you got a better idea you're very much welcome.
Thankz
Michael
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Michael Tadesse
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I can answer questions regarding Relations, linear functions and equations, Squares and square roots, Translation and Similarity, Special Properties of Right Angled Triangles, Measurement of Area and Volume, algebra. I can also answer questions related to Pre calculus, Limits and Continuity, Derivatives Applications of Derivatives, High school math in general. I can’t answer questions of the following type. Power Series, Multiple Integrals, Fourier series, Vector valued Functions.
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I love mathematics as it is the mother of all sciences. I had an outstanding math results while I was in school. The tradition continues while I am in university. I have been helping elementary school Students for the past five years with mathematics problems. In fact, I have a brother who is four years younger than me I usually help him to understand what the crux of the question is before trying to solve it. He loves math very much, he is indeed one of the top scorers form his class in Mathematics. I didn’t stop helping my younger relatives after I joined the Engineering campus and I am more than ready to help anyone with my skill.
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have a high school diploma with a 3.97 GPA; I also have many merit certificates granted for my outstanding results in high school math. I won a merit certificate for my participation in the Black Month Essay Contest. I took two different National Examinations in 2006 and 2007. In the former Exam I got 9As which includes Mathematics. I also have a score of 90 out of hundred in the later Examination which is the toughest known in Ethiopia. So you don’t have to worry about my ability to help my clients.
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I have never had an online client but I was helping students coming to me for assistance in Mathematics.
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