Now, on a Dell laptop - though it's usually all the same - to a standard fat-back TV, called a CRT, you can use an S-video cable, which is probably what she tried to sell you and would be the best idea. From the photos, it looks like you have S-video to S-video on both the TV and laptop - the small little black round connector.
That's probably the only way to do so from looking at the back of the TV.
As well, you need to check for the S-Video whether it has four or seven pins. If it has four pins, seven pins obviously won't work and vice versa.
