The distance from point X to point Y is 20 miles, and the distance from point X to point Z is 12 miles. If d is the distance, in miles, between points Y and Z, then what is the possible range of possible values for d?
I find, as straight distance is the shortest distance, $20-12= 8$ is the smallest possible distance of Y and Z. But, I don't understand if it is necessarily true that straight distance of Z from x, in opposite direction of Y $(20+12=32)$, is the greatest possible distance or not. Can anyone explain it?