7. Let p(x, y) be the following proposition over P x Q: p(x,y): xy = 1 Express the following in English, and determine whether each statement is true. Explain your answers. (a) (Vr)p(y)q(p(x, y)) (b) (y)q(Vx)P(p(x, y)) (c) Express the negation of the statement in part (b) symbolically using quantifiers and the proposition p(x, y). Then write this statement in English, and determine whether it's true or false. 8. Use mathematical induction to prove the following formula for all positive integers n: k=1 k · (k!) = (n + 1)! - 1 Hint: For any positive integer m, m! = m. (m1)! 9. Determine whether or not the proposition p^ (p→q) implies ¬q. Explain your answer.

Q: Can you help me on #29.

A: Given:

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