If the reciprocal of x is between 0 and 1, which of the following must be true?

Correct answer marked below

x^3 < x^6 < x^7

Correct

x^6 < x^3 < x^7

x^3 < x^7 < x^5

x^3 < x^7 < x^6

x^7 < x^3 < x^6

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What this question tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.