Question

Use set builder notation to represent the following set. {... -3, -2, -1, 0} {x | x Z, x ≤ 0} {x | x N, x ≤ 0} {x | x R, x ≤ 0}

Answer 1

Answer:

$\boxed{\boxed{\left\{x\ |\ x\ \epsilon\ Z,\ x \le 0}\right\}}}$

Step-by-step explanation:

Set builder notation-

It is a notation for representing a set by enumerating its elements and stating the properties that its members must satisfy.

The given set is,

$\left \{.... -3, -2, -1, 0 \right \}$

This set is comprised of all negative integers. So symbol Z should be used in this case.

The set builder notation for this set is,

$\left\{x\ |\ x\ \epsilon\ Z,\ x \le 0}\right\}$