Describe the following sets in Roster form: x :x^2 < 25 ; - Vidyadip

Question

Describe the following sets in Roster form: $\{\text{x}\in\text{N}:\text{x}^2 < 25\};$

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Answer

In Roster form, we describe a set by listing its elements, separated by commas and the elements are written within braces { }. If a set has infinitely many elements, them comma is followed by ..., where the dots stand for 'and so on'. $1\in \text{N}\because {1}^2 = 1 < 25$ $2\in \text{N}\because {2}^2 = 4 < 25$ $3\in \text{N}\because {3}^2 = 9 < 25$ $4\in \text{N}\because {4}^2 = 16 < 25$ Hence, the above set can be written as {1, 2, 3, 4}.

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