If 1 < x < y < z, which of the following has the greatest value?

Correct answer marked below

z(x + 1)

z(y + 1)

x(y + z)

y(x + z)

z(x + y)

Correct

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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.