Math 230 |94 Questions| With Correct Answers.

Which operations are well defined in the set of complex numbers C? {Ans: Addition, subtraction, multiplication, division (except by 0) and solving algebraic equations}What do we do during an induction proof to show P(k+1) is true? {Ans: we assume P(k) is true and use our math knowledge and calculations to deduce P(k+1)}Mark all sets that have the set of rational numbers Q as a proper subset. {Ans: The set of complex C and the set of real numbers R}1+3+3^2+⋯+3^(n-1)= {Ans: (3^n −1 )/2}C = { natural numbers divisible by 3}. Which statement about C is not rue? 3n is a formula for elements of C 3n < --- > n is 1:1 correspondence with natural numbers C ={ 3,6,9,12,15,18 ..... } numbers divisible by 6 belong to C C is an infinite set adding two elements of C give another element of C C is uncountable 270 belongs to C C is countable all these statements are true {Ans: C is uncountable}x - is a pet in X = {set of pets in US} properties: P - x is a good pet T - pet x gets a treat A x c X Tx =>