What kind of mathematics are you learning?
In a positive correlation, both variables increase together. An example of this is a company's profit's relationship with its sales. The greater the sales, the greater the profit.
A negative correlation is where one variable decreases with increase in the other. An example is the time taken to reach somewhere and the speed traveled at. The faster you move, the less the time.
No correlation means the two variables are not related. An example of this is as you get older, it does not mean you will get better grades.
___________
____________
____________
![\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Bl%7D%5C%5C%5C%5C%20%5Ctextsf%7BTherefore%2C%7D%5C%5C%5C%5C%20%5Cmathsf%7B%5C%23%5Cbig%5BS%5Ccap%20%28A%5Ccup%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccup%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%28S%5Ccap%20A%29%2B%5C%23%28S%5Ccap%20B%29-%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccap%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B350%2B100-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B450-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B400~elements.%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7BThere%20are%20400%20integers%20in%20S%20that%20are%20divisible%20by%202%20or%207.%7D%20%5Cend%7Barray%7D)
If you're having problems understanding the answer, try to see it through your browser: brainly.com/question/2105863
Tags: <em>set theory divibilility divisible integers union intersection</em>
