Draw two curves in a $p-V$ diagram, one for the adiabatic compression of a monatomic ideal gas from state $i$ to $V_f$ and the other for isothermal compression from the same starting point to the same final volume, $V_f$. Using the curves you drew, illustrate the work done for the two compressions. Based on our sign convention, rank the numerical size of each work term relative to zero and to each other (using greater-than and less-than signs, i.e., $a < b < c$).