Ineed an explanation of the answers for the following examples if someone can :
a={1, 3, 5, 7} b={1, 3, 5, 7, 9}
is a a subset of b?
are all elements/components of a found in b?
are all elements/components of b found in a?
is a a proper subset of b?

As A a subset of B?

Yes, by definition, A is a subset of B if every element of A is also an element of B.

Are all elements/components of A found in B?

Yes, this is exactly what makes A a subset of B.

Are all elements/components of B found in A?

No: all elements of B are also elements of A except for 9, who only belongs to B.

is A a proper subset of B?

Yes, because there are elements in B that are not elements of A.

The answer is as follows:

Step-by-step explanation:

(a) yes, Set A is a subset of Set B.

Because all the elements of Set A are present in Set B. Therefore, A is a subset of Set B.

(b) Yes, all the elements of Set A found in Set B. In the above example, elements of Set A = {1,3,5,7} are present in Set B.

(c) No, all the elements of Set B are not found in Set A. Infact, all the elements of Set B are found in Set A except element {9}.

(d) Yes, Set A is a proper subset of B. According to the definition of proper subset, a Set A to be proper subset of B, then all the elements of Set A are present in Set B, but set B contains atleast one element that is not present in Set A. In our case, there is one element that is not present in Set A and that is {9}.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

add an image

step-by-step explanation: