After , black cannot kill the white stones.
7 at a or b looks good, too. (Bill, is this better?)
Bill: I suspect that the diagram is incomplete. might be better at , depending on the surroundings. Wc - Bd is White's sente. is not necessary for White to live. To avoid being shut in by Bb, White can play We. Again, the surroundings matter. :-)
iff Another possibility for 5:
Bill: Another possibility, but not a good one. The capture makes life for White. After , White cannot even jump to a. (Also, is better at b.) And c will usually be sente for Black.