Larmor frequencies are usually tens or hundreds of MHz, but to make the numbers easier to handle in this problem we will assume that the Larmor frequencies are very much smaller.
Consider a system of two coupled spins. Let the Larmor frequency of the first spin be -100 Hz and that of the second spin be -200 Hz, and let the coupling between the two spins be 5 Hz. Compute the energies (in Hz) of the four energy levels, according to Table 3.2 on page 38.
Using these energies, compute the frequencies of the four allowed transitions; make a sketch of the spectrum, roughly to scale, and label each line with the energy levels involved (i.e. 1 2 etc.). Also, indicate for each line which spin flips and the spin state of the passive spin.
Repeat your calculation, and redraw the sketch, for the case where the coupling is -5 Hz. Comment on the effect of changing the sign of the coupling.