set-builder notation

Noun

 * 1)  A mathematical notation for describing a set by specifying the properties that its members must satisfy.
 * 2) * 2011, Tom Bassarear, Mathematics for Elementary School Teachers, Cengage Learning, 5th Edition, page 56,
 * In this case, and in many other cases, we describe the set using set-builder notation:
 * $$Q = \left\{\frac{a}{b}\vert\ a\in I\ \mathrm{and}\ b\in I,\ b\ne 0\right\}$$
 * This statement is read in English as "Q is the set of all numbers of the form $$\frac{a}{b}$$ such that a and b are both integers, but b is not equal to zero."
 * 1) * 2012, Richard N. Aufmann, Joanne Lockwood, Intermediate Algebra, Cengage Learning, 8th Edition, page 6,
 * A second method of representing a set is set-builder notation. Set-builder notation can be used to describe almost any set, but it is especially useful when writing infinite sets. In set-builder notation, the set of integers > −3 is written
 * $$\left\{x\vert x > -3,\ x\in \mathrm{integers}\right\}$$
 * $$\left\{x\vert x > -3,\ x\in \mathrm{integers}\right\}$$