Question

Rewrite the set G by listing its elements. Make sure to use the appropriate set notation.G = ( z l z is an integer and -3 < z <_ 0)

Answer 1

Given the set G = ( z l z is an integer and -3 < z <_ 0) , we are to write out all the elements in the set.

First you must take note of the inequality signs.

First aspect of the inequality-3 < z means that z is a value greater than -3 exclusive -3. The values are -2, and -1

The second part of the inequality z <_ 0 means that z is less than or equal to 0, this means that 0 is inclusive because of the equal to sign.

Hence the set of element G will be -2, -1 and 0. In set notataion, it is represented as:

G = {-2, -1, 0}

Note that -3 is not part of the element G