Use the roster method to represent the following sets:
i) The counting numbers which are multiples of $5$ and less than $50$ .
ii) The set of all natural numbers $x$ which $x + 6$ is greater than $10$ .
iii) The set of all integers $x$ for which $30 / x$ is a natural number.

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Solution

(i) The counting numbers which are multiples of $5$ and less than $50$ .
Answer: ${5, 10, 15, 20, 25, 30, 35, 40, 45}$

(ii) The set of all natural numbers $x$ which $x + 6$ is greater than $10$ .
Answer: $x = {5, 6, 7, 8, . . .}$

(iii) The set of all integers $x$ for which $\frac{30}{x}$ is a natural number.
Answer: $x = {1, 2, 3, 5, 6, 10, 15, 30}$

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Similar questions

Write the following sets in roster form:

(i) A = {x : x is an integer and -3 < x < 7}

(ii) B = {x : x is a natural number less than 6 }

(iii) C = {x : x is a two-digit natural number such that the sum of its digits is 8 }

(iv) D = {x : x is a prime number which is divisor of 60}

(v) E = The set of all letters in the word TRIGONOMETREY

(vi) F = The set of all letters in the word BETTER

A = {x : x is an integer and - 3 < x < 7}

B = {x : x is a natural number less than 6}

C = {x : x is a two-digit natural number such that the sum of its digits is 8}

D = {x : x is a prime number which is divisor of 60}

E =

F =

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