Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.1 Junior Find the answer

If the fraction $\frac{1}{x-3}$ is meaningful, then the range of values for $x$ is:

Pick one

Solution

For the fraction $\frac{1}{x-3}$ to be meaningful, the denominator cannot be zero. This leads us to the equation:

$x - 3 \neq 0$

Solving this inequality, we find:

$x \neq 3$

This means that $x$ can take any value except $3$ to ensure the fraction is meaningful. Therefore, the correct choice is:

$\boxed{C}$

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