**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).