Answer
$\Delta$$H_{mix}$ would be the largest negative number.
Work Step by Step
Since $\Delta$ $H_{solute}$ and $\Delta$ $H_{solvent}$ are always positive $\Delta$ $H_{mix}$ must have the largest negative number as it must have a greater negative magnitude than the positive numbers of $\Delta$ $H_{solute}$ and $\Delta$ $H_{solvent}$ combined in order for $\Delta$ $H_{mix}$ to be negative.
