12 A AND C- THANKS DISCRETE MATH c. Either the rood Is g0 d. Neither the food is

Question

12 A AND C- THANKS DISCRETE MATH

c. Either the rood Is g0 d. Neither the food is good nor the service excellent. e. If the price is high, then the food is good and the service is excellent. 12. Write the negation of each statement. a. The processor is fast but the printer is slow. b. The processor is fast or else the printer is slow. c. If the processor is fast, then the printer is slow. d. Either the processor is fast and the printer is slow, or else the file is damaged. e Ithe fl s not damaged and the processor is fast, then the printer is slow f. The printer is slow only if the file is damaged. 13. Using the letters indicated for the component statements, translate the following into symbolic notation. a. A: prices go up; B: housing will be plentiful; C: housing will be expensive If prices go up, then housing will be plentiful and expensive; but if housing is no still be plentiful. b. A: going to bed; B: going swimming; C: changing clothes Either going to bed or going swimming is a sufficient condition for changing cl ing clothes does not mean going swimming. c. A: it will rain; B: it will snow Either it will rain or it will snow but not both.

Explanation / Answer

12.A the processor is fast but the printer is slow

Way of approach: first try to understand general meaning of sentence and then use logical connectives in proper positions.

Meaning : Even though processor is fast, printer is behaving slowly.

Negative: The processor is not fast but the printer is fast. (I. e, not slow)

12.C If the processor is fast then the printer is slow.

Meaning : printer is slow even though processor is fast.

Negative : If the processor is not fast, then the printer is fast.  

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