Problem

Identify the antecedent and the consequent for each of the following conditional sentenc...

Identify the antecedent and the consequent for each of the following conditional sentences. Assume that a, b, and f represent some fixed sequence, integer, or function, respectively.

(a) If squares have three sides, then triangles have four sides.

(b) If the moon is made of cheese, then 8 is an irrational number.

(c) b divides 3 only if b divides 9.

(d) The differentiability of f is sufficient for f to be continuous.

(e) A sequence a is bounded whenever a is convergent.

(f) A function f is bounded if f is integrable.

(g) 1 + 2 = 3 is necessary for 1 + 1 = 2.

(h) The fish bite only when the moon is full.

(i) A time of 3 minutes, 48 seconds or less is necessary to qualify for the Olympic team.

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Solutions For Problems in Chapter 1.2