Answers:
Choice A) 0
Choice B) 0.5
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Explanation:
Matia claims that [tex]x^2 > x[/tex]
However, the claim isn't true when 0 ≤ x ≤ 1.
For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]
Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.
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Similarly, if x = 0.5, then
[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]
Because the last inequality is false, the first inequality must also be false for x = 0.5
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Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.
