1.

Write the set \({\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}}\) in set builder form.(a) {x: \(x=\frac{n}{n+1}\) where n is a natural number less than 6}(b) {x: \(x=\frac{n+1}{n+2}\) where n is a natural number less than 6}(c) {x: \(x=\frac{n+1}{n}\) where n is a natural number less than 6}(d) {x: \(x=\frac{n}{n+1}\) where n is a natural number less than 5}The question was posed to me in an interview.My question comes from Sets and their Representations in portion Sets of Mathematics – Class 11

Answer»

The correct option is (a) {x: \(x=\frac{n}{n+1}\) where n is a NATURAL NUMBER less than 6}

EXPLANATION: Since denominator is one more than numerator and only 5 TERMS are present.So, the above set can be written as {x : \(x=\frac{n}{n+1}\) where n is a natural number less than 6}.



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