Mathematical Proof

Topic practice · Paper 2 · Intermediate

This free ExamAlly page is a TMUA mathematical proof practice question for students preparing for the TMUA (Test of Mathematics for University Admission). Use it to check your understanding of Mathematical Proof, attempt every option under light time pressure, then read the full worked solution.

Independent practice material, not affiliated with official TMUA organisers.

Let $y$ be a real number. Consider the statement:

S(y): For all real $x$ , $x^2 \le y^2$ if and only if $-y \le x \le y$ .

Which one of the following conditions on $y$ makes $S(y)$ true?

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