Express each set in roster notation Express the elements as

Express each set in roster notation. Express the elements as strings, not n-tuples.

(a) A^2, where A = {+, -}.

(b) A^3, where A = {0, 1}.

Solution

roster notation is where we express all possible combinations of a set in all possible values.

a)

roster notation will be {+}

In this case we have both negative and positive numbers as input. But the square of a number will always be positive irrespective of the sign. so the result will be always positive.

b)

roster notation will be {0,1}

cube of 0 is 0 and cube of 1 will be 1. so the output will be 0,1.