Question

a) Provide counterexamples to the following statements. i) a and b are integers where alb and bla, then a = b. ii) If n >0 then n>0. iii) If n is an even number, then n² + 1 is prime. iv) If n is a positive integer, then nº >n! b) Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) B(x): x is a ball R(x): x is round S(x): x is a soccer ball a. All balls are round. b. Not all balls are soccer balls. c. All soccer balls are round. d. Some balls are not round. e. Some balls are round but soccer balls are not f. Every round ball is a soccer ball.

Answer 1

See dear these all are different lengthy problems. According to HOMEWORKLIB RULES I have to solve only the first question when multiple questions are given. So I am solving first question. Hope similarly you can solve other questions.Rate it.