Mathematics, 31.10.2019 05:31 mistymjoy
How many integers in the set {n ∈ z | 1 ≤ n ≤ 700} are divisible by 2 or 7?
Answers: 3
![\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}](/tpl/images/0353/8578/6174e.png)
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How many integers in the set {n ∈ z | 1 ≤ n ≤ 700} are divisible by 2 or 7?...
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