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Bunuel
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Given 2/n < 0.5 < 3/n, n must be +ve. So, we can cross multiply and solve further.
This can be further checked by looking at the answer choices, which indicate that n is positive
Bunuel
Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?

(A) 1<n<6
(B) 2<n<3
(C) 2<n<5
(D) 4<n<6
(E) n>10
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I got it right but a question? Why is allowed to multiply by "n", we don’t know if it it’s +ve or -ve therefore we can’t manipulate the inequality like that. That being said, the method I followed was trial and error of the options.
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I got it right but a question? Why is allowed to multiply by "n", we don’t know if it it’s +ve or -ve therefore we can’t manipulate the inequality like that. That being said, the method I followed was trial and error of the options.

Because n cannot be negative for 2/n < 0.5 < 3/n, as that would make both 2/n and 3/n negative, causing the inequality to not hold true.
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Given:

2/n < 0.5 < 3/n

Since the answer containes answer in terms of n. We need to multiply n in numerator. Thi should also be done to eradicate n in the denominator.

The equation becomes:

2 < 0.5 * n < 3

Now to reduce the equation to n, lets multiply it by 2.

4 < n < 6
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