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Problem Solving (PS) | Re: If r is between –1 and 0, then which of the following is true?

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Bunuel wrote:

If r is between –1 and 0, then which of the following is true?

A. \(r^5 < r^6 < r^7\)

B. \(r^5 < 0 < r^7\)

C. \(r^7 < r^6 < r^5\)

D. \(r^7 < r^5 < r^6\)

E. \(r^3 < r^7 < r^6\)


Solving the problem conceptually

we know that\(r\) is negative, hence\(r\) will be greatest when power is even. So choiceA ,B &C areout

Again as\(r\) is negative and greater than\(-1\) i.e a negative proper fraction, higher powers of\(r\) will be greater than the lower powers, So optionD isout .

Answer-E
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