Question 8
The six real numbers $a, b, c$ and $x, y, z$ are given such that
a) $0 \lt b - c \lt a \lt b + c$
b) $a x + b y + c z = 0$
Determine (with justification!) the sign of $a y z + b x z + c x y$.
a) $0 \lt b - c \lt a \lt b + c$
b) $a x + b y + c z = 0$
Determine (with justification!) the sign of $a y z + b x z + c x y$.