What type of solution does the equation 5=5 represent?

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

The equation 5 = 5 is a true statement that holds for all values of the variable involved, often represented as a form of an identity. This means that no matter what variable you substitute into the equation, the left-hand side will always equal the right-hand side, demonstrating that the two sides are equivalent for all possible values.

Since the equation does not impose any restrictions or yield a unique value, there are infinitely many solutions to this equation. It belongs to a category of equations known as identities, where both sides are identically equal regardless of any variables involved. Therefore, the correct answer reflects the nature of this equation as having infinitely many solutions.

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