Moderate# Increasing Linear Combination

LINALG-4GZSNJ

Suppose that $F$is a linear combination of $x,y,z$. Holding $y,z$ constant if we increase the value of $x$ by $2$, we increase the value of $F$ by $3$.

Which of the following must be *TRUE*?

$(i)$ Holding, $x, y$ constant, if we increase the value of $z$ by $3$, then we increase the value of $F$ by $2$.

$(ii)$ Holding $y,z$ constant, if we increase the value of $x$ by $3$ then we increase the value of $F$ by $2$.

$(iii)$ If we decrease the value of $x$ by $2$, we would decrease the value of $F$ by $3$.