What is the difference between a proper and an improper subset?

Mathematics

2 answers:

lutik1710 [3]3 years ago

4 0

A proper subset describes the set in full. An improper subset strays from the original set.

Nutka1998 [239]3 years ago

3 0

An improper subset is a subset containing every element of the original set. A proper subset contains some but not all of the elements of the original set. For example, consider a set {1,2,3,4,5,6}. Then {1,2,4} and {1} are the proper subset while {1,2,3,4,5} is an improper subset.

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Explanation

Suppose, the number of sit-ups in Sunday is $x$

Mean is the simple average of some numbers. For finding the mean number of sit-ups per day, we need to divide the 'total number of sit-ups' by the 'total number of days'.

Here the total number of days is 7 and the total number of sit-ups for 7 days $= 100+65+120+150+90+0+x= 525+x$

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

$\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175$

So, the number of sit-ups you have to do Sunday is 175.

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