An algebra problem by Purushottam Abhisheikh

Algebra Level pending

If ( x 2 + 3 x 1 ) < 1 \sqrt{(-x^2+3x-1)} < -1 , then

x є ∅ x є [1,2] x є (1,2) x є {1,2}

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1 solution

Caleb Townsend
Mar 1, 2015

Simple! Square root is a function that only returns positive values. So how could it be less than 1 ? -1? It can't, therefore the solution set is empty.

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