make_pdf - Midterm 1 Math 55 Write clearly and explain...

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Midterm 1, Math 55 July 16, 2002 Write clearly and explain everything you do, unless it is explicitely stated that no explanation is needed. Calculators are not allowed. Don’t forget to write your name on every page that you hand in. All problems are worth the same. 1. Are the following statements true or false? (no explanation needed, answer with the full word “TRUE” or “FALSE” as some people’s “F” and “T” are very similar) a) If A , B and C are ±nite sets and | A B | = | A C | , then | B | = | C | . b) If A and B are ±nite sets with | A | > | B | and f : A B is a function, then f is onto. c) Let f and g be functions such that the composition h = g f exists (( g f )( x ) = g ( f ( x ))). If h is one-to-one, then g is also one-to-one. d) b- log 2 (6) c = - 3. e) For all x and y we have b x + y c ≤ b x c + b y c . f) The proposition p q is equivalent with ( ¬ p q ) ( p ∨ ¬ q ). g)
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make_pdf - Midterm 1 Math 55 Write clearly and explain...

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