ExplanationSupply two numbers to satisfy the equation 0 < s < | p | where p is a negative number: s = 1, p = –2
Now plug these values into the expressions in the answer choices to find one that results in a negative number. Test takers who analyze the answer choices will realize that they can skip the first three answer choices because all three expressions are squared, meaning that all three answer choices will always result in a positive number. So start with the fourth answer:
\(p^2 - s^2\) → \((-2)^2 - 1^2\) → 4 – 1 → 3
No\(s^2 - p^2\) → \(1^2 - (-2)^2\) → 1 – 4 → –3
Yes!Hence option E is correct.
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