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# Direct Proof watch

1. how would I prove this by direct proof
If x∈R and 0<x<4, then 4/(x(4-x)) >= 1
2. (Original post by gdickinson_)
how would I prove this by direct proof
If x∈R and 0<x<4, then 4/(x(4-x)) >= 1
One way to approach it is to note that for all , and look for a suitable

Another is to find the maximum of a suitable function over a suitable range (find where said function is increasing)

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Updated: November 12, 2015
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