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Each part below gives a set of facts about a predicate P(x). Select all the part

ID: 3080068 • Letter: E

Question

Each part below gives a set of facts about a predicate P(x). Select all the parts where P(x) is guaranteed to be true for all positive integers x. a. P(1), P(2), ... P(10) are all true. If [ y >5 and for all z with 1 < z < y, P(z) is true ] then P(y) is also true. b. P(1), P(2), P(3) are all true. For all y >0, if P(y) is true then P(y+3) is true. c. P(1) is true: for all y > 0 , if P(y) is true then P(y+1) and P(y+2) are both true. d. P(1) is true. For all y > 1, if P(y) is true then P(y+1) is true.

Explanation / Answer

d. P(1) is true. For all y > 1, if P(y) is true then P(y+1) is true. c. P(1) is true: for all y > 0 , if P(y) is true then P(y+1) and P(y+2) are both true.

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