The set builder form of the set {1/2,2/3,3/4,4/5} is

Correct Answer is : nn+1∣1≤n≤4,n∈z{n/n+1 | 1≤ n≤ 4,n∈z}n+1n∣1≤n≤4,n∈z

Correct Answer is : nn+1∣1≤n≤4,n∈z{n/n+1 | 1≤ n≤ 4,n∈z}n+1n∣1≤n≤4,n∈z

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Telangana TET Paper 2 Math and Science Model Paper 3

Section: Math and Science

Question : 146 of 150

Marks: +1, -0

{\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}}

Solution:

Concept:

The set builder form describes a set by a common property of its elements.

Explanation:

Observe the pattern: each fraction is

\frac{n}{n+1}

For

n=1

, we get

\frac{1}{2}

For

n=2

, we get

\frac{2}{3}

For

n=3

, we get

\frac{3}{4}

For

n=4

, we get

\frac{4}{5}

Thus, the set =

\{x : x = \frac{n}{n+1}, \text{ where } n \in \mathbb{N}, 1 \le n \le 4\}

Answer:

Option B:

\{\frac{n}{n+1} \mid 1 \le n \le 4, n \in \mathbb{Z}\}

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