Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.4 Junior Find the answer

If the square root of $x-1$ is meaningful, then the range of values for $x$ is ____.

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

To ensure the square root of $x-1$ is meaningful, we must have the expression under the square root to be non-negative. This gives us the inequality:

$x - 1 \geqslant 0$

Solving this inequality step by step:

$x - 1 \geqslant 0$
$x \geqslant 1$

Therefore, the range of values for $x$ that satisfies the condition is:

$\boxed{x \geqslant 1}$

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