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}.
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}.

Solution:

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

–2, –1, 0, 1, 2, 3, 4, 5, and 6 are the only elements of the given set.

As a result, the provided set can be written in the roster form as

A = {–2, –1, 0, 1, 2, 3, 4, 5, 6}

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

1, 2, 3, 4, and 5 are the only elements of the given set

As a result, the provided set can be written in the roster form as

B = {1, 2, 3, 4, 5}