# Worksheet - Compound Conditionals

On the last page, my students and I are wondering if there is an error in the answer key. Number 4 we believe the answer should be true because it is an or statement and day does equal Monday. Number 5 we believe it should be false because we are reading it as age is not equal to 16 and day is not equal to Monday, See image of answer key:

Hi @aprieksat,

Fantastic question! I have a secret love for problems like this - I always loved those puzzles in middle school/high school to figure out complicated pairings (usually it was something like students with different eye/hair color and favorite subjects and the clues would be â€śnone of the students with brown hair like scienceâ€ť or â€śnone of the students with green eyes also have black hairâ€ť)

Anyway, I think you are missing the â€ś!â€ť symbol which means â€śnotâ€ť. I made a diagram here to help explain how I break it down. I am starting in the middle (or in the parentheses) and then evaluating outward. Does that help?

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Oh thank you!!! This diagram helped us so much! We really appreciate the time you took to explain it.

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Kaitie,
Can you show me the diagram? Iâ€™m a bit confused.

Hi Eleanor,

Do you see the example in this post - Worksheet - Compound Conditionals ? That is the diagram that is being referred to. It is the statements numbered 4 and 5. The T and F under the expressions are what the expressions evaluate to. Let me know if you have more questions.

I see a screenshot of the answer key but nothing with T or F underneath.

I have screenshot the example and added red circles on the T and F. Do you see them now?

Yes! Thank you very much!