bất phương trình

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The Vietnamese word "bất phương trình" translates to "inequation" in English. In mathematics, an inequation is a statement that expresses the relationship between two expressions that are not equal to each other.

Explanation:

• Basic Meaning: An inequation shows that one side is greater than or less than the other side, rather than equal. For example, if we say (x > 5), we are stating that (x) is greater than 5, which is an example of an inequation.

Usage Instructions:

• Context: Use "bất phương trình" in mathematical contexts, especially when discussing inequalities or solutions that involve ranges of values rather than single values.
• Form: It can be represented using various symbols, such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Example:

• A simple example is:
  • "x < 10" (This means that (x) is any number less than 10.)
  • In Vietnamese, you would say: "bất phương trình này có nghĩa là x nhỏ hơn 10."

Advanced Usage:

• In more advanced mathematics, "bất phương trình" can be used in various fields such as calculus, algebra, and optimization problems. You might encounter systems of inequations, where multiple inequalities are considered together.

Word Variants:

• Bất phương trình bậc nhất: This refers to a first-degree inequation (linear inequation).
• Bất phương trình bậc hai: This refers to a second-degree inequation (quadratic inequation).

Different Meanings:

• While "bất phương trình" primarily refers to the mathematical concept of an inequation, it can also be used in a broader sense to describe situations or conditions that do not meet certain criteria or constraints.

Synonyms:

• In Vietnamese, you might also see the term "bất đẳng thức," which is closely related and can sometimes be used interchangeably with "bất phương trình," although "bất đẳng thức" more specifically refers to inequalities in a more general sense rather than just inequations.

Academic

1. (toán) Inequation