14. proof of the triangle inequality. (a) verify that the triangle inequality is true for several different real numbers x and y. be sure to have some examples where the real numbers are negative. (b) explain why the following proposition is true: for each real number r, r jrj. (c) now let x and y be real numbers. apply the result in part (14b) to both x and y. then add the corresponding parts of the two inequalities to obtain another inequality. use this to prove that jx c yj jxj c jyj

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.