Question

Write the set {1/2, 2/5, 3/10, 4/17, 5/26, 6/37, 7/50} in the set builder form

Answer 1

Answer:

Let the set be denoted by the letter X

$\implies Set \: X = \{ \dfrac{1}{2}, \dfrac{2}{5}, \dfrac{3}{10}, \dfrac{4}{17}, \dfrac{5}{26}, \dfrac{6}{37}, \dfrac{7}{50} \}$

If we look closer we find that the fraction is of the form: $\dfrac{n}{n^2 + 1 }$

Hence we can write the fraction as:

$Set \: X = \{ X \: : n \in N, \:\:n \leq 7 \}$

This is the required answer.