Question

An inequality that is always true is called _.

Answer 1

Answer:

An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

Answer 2

Answer:

There is no name for such inequality.

For your information:

The examples of such inequality are AM-GM-HM, Cauchy-Schwarz inequality.

• $\frac{a+b}{2}\geq \sqrt{ab} \geq \frac{2ab}{a+b}$, for positive a, b
• $(a^2+b^2)(x^2+y^2)\geq (ax+by)^2$ for reals a, b, x, y