Answer to Question #94020 in Real Analysis for Daniel

Question

9.Let P be the set of positive real numbers and let Q be the set of negative real numbers. The union of P and Q, consist of all the real numbers except
a.3
b.zero
c.1
d.2

10.Let P(x) be any statement and let A be any set. Then there exists a set: {B={a|a\\in A,P} (a) is true}. The statement represents the
a.axiom of specification
b.Euclidean geometry axiom
c.None of the options
d.axiom of extension

Answer 1

9) b

Because both set of positive real numbers and set of negative real numbers do not consist zero.

10) a.

An axiom is a statement that is taken to be true. So there are no explanations. https://topologicalmusings.wordpress.com/2007/12/15/section-2-the-axiom-of-specification/