If the determinant vmatrix a&1&1 1&b&1 1&1&c vmatrix is positive

MATHEMATICS · Multi correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If the determinant ∣a111b111c∣\begin{vmatrix}a&1&1\\1&b&1\\1&1&c\end{vmatrix} is positive, where a,b,c>0a,b,c>0, then (1) abc>1abc>1 (2) abc>−8abc>-8 (3) abc<−8abc<-8 (4) abc>−2abc>-2

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