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

Explanation

To convert the set \(\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}\) into set builder form, we will follow these steps:

### Step 1: Identify the pattern in the set
The elements of the set can be expressed in terms of a variable \(n\). Observing the elements:
- The first element is \(\frac{1}{2}\) which corresponds to \(n = 1\)
- The second element is \(\frac{2}{3}\) which corresponds to \(n = 2\)
- The third element is \(\frac{3}{4}\) which corresponds to \(n = 3\)
- The fourth element is \(\frac{4}{5}\) which corresponds to \(n = 4\)
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