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Write the set {1/2,2/3,3/4,4/5,5/6,6/7}i...

Write the set `{1/2,2/3,3/4,4/5,5/6,6/7}`in the setbuilder form.

Text Solution

AI Generated Solution

To express the set \(\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}\) in set-builder form, we can follow these steps: ### Step 1: Identify the Pattern First, we observe the elements of the set: \[ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \] We notice that each element can be expressed in the form of \(\frac{P}{Q}\) where \(P\) and \(Q\) are integers. ...
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Knowledge Check

  • The set {1/2, 2/3, 3/4, 4/5, 5/6, 6/7} in the set-builder form is

    A
    {`x:x=n/(n+1)`, where `n in N` and `1 lt n lt 6}`
    B
    {`x:x=n/(n+1)`, where `n in N` and `1 le n lt 6}`
    C
    {`x:x=n/(n+1)`, where `n in N` and `1 le n le 6}`
    D
    None of the above
  • The sets {1,2,3,4} and {3,4,5,6} are equal

    A
    True
    B
    False
    C
    Cant say
    D
    None of these
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