# Inequality 7320

Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2.

Prove that the inequality holds:

a2 + b2 + c2 + 3abc <9

Prove that the inequality holds:

a2 + b2 + c2 + 3abc <9

### Correct answer:

#### You need to know the following knowledge to solve this word math problem:

**algebra**- inequalities
- expression of a variable from the formula
**arithmetic**- comparing
**basic functions**- reason

#### Themes, topics:

#### Grade of the word problem:

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