Why not E?

Hi @MelodyWilson, Happy to help! Rule 4 tells us that if G is offered, then both H and Z are also offered. G --> H and Z Not H OR Not Z --> Not G The contrapositive does not tell us that either H or Z could not be present without G. Rather, it tells us that, if H or Z is not present, then G cannot be present. The question stem tells us that H is not offered by the summer program. Therefore, G cannot be offered by the summer program. L cannot be offered because, if L is offered, then G is also offered. We already know from our deduction above that G cannot be offered by the summer program. It is fine if Z is offered because there are no conditions precluding it. We know that Not H OR Not Z --> Not G. We already know that H cannot be offered. Therefore, it does not matter whether Z is offered or not, we know that the summer program cannot offer G. We learn from Rule 3 that if S is offered, then P is also offered, but Z is not. S --> P AND Not Z Not P OR Z --> Not S Neither of these tell us that Z cannot be offered. Therefore, Z could be offered by the summer program. Hope this helps! Please let us know if you have any further questions.