Topic
Which of the following statements is a mathematical statement?
a) The number \(\pi \) is an irrational number;
b) The square of all real numbers is positive;
c) There exists a real number x for which x is greater than its reciprocal;
d) Fansipan is the highest mountain in Vietnam.
Solution method – See details
A mathematical proposition is a statement (true or false) about a fact in mathematics.
Detailed explanation
a) Is a mathematical statement (true).
b) Is a (false) mathematical proposition.
c) Is a mathematical statement (true).
d) Zero is a mathematical proposition (because it does not talk about any mathematical facts).
