Math 230 Questions & Answers | Latest Update | Verified Answers | Grade A+

Which is the best 'definition' of the term 'definition' in mathematics? :: A statement of the exact meaning of a concept or precise description of an object Which is a false statement about axioms in mathematics? :: We do not need to state the axioms to use them Which is a true statement in logic? :: There are statements that are always true Which operations on numbers are well defined in the set of natural numbers N? :: Addition and multiplication only Which operations on numbers are well defined in the set of integers Z? :: Addition, subtraction and multiplication only Which operations on numbers are well defined in the set of rational numbers Q? :: Addition, subtraction, multiplication and division (except by 0) only Which operations on numbers are well defined in the set of real numbers R? :: Addition, subtraction, multiplication, division (except by 0) and taking radicals and limits Which operations are well defined in the set of complex numbers C? :: Addition, subtraction, multiplication, division (except by 0) and solving algebraic equations Mark all sets that have the set of rational numbers Q as a proper subset. :: The set of complex C and the set of real numbers R Mark the sets that are NOT contained in the set of real numbers R as a proper subset. :: The set of imaginary numbers For any two sets ( C u B)' = :: C' n B' Which of the following are valid for any sets F and G: 1) F - G = G - F 2) F' = G 3) F u G = G' u F' 4) F u G = G u F 5) F n G = G n F 6) F n G - F = G - G :: Last 3 are valid Let Z be the universe for the following two sets A = { x > 4} and B = { 2 < x < 10}. What is (A n B)' = ? :: (A n B)' = {. . . -1, 0, 1, 2, 3, 4, 10, 11. . . ) A is a subset of B. Which of the following is NOT true? :: B - A = empty set Consider R to be the universe for the following sets. N = (1,2,3,4 .... ) Z= {...-3, -2, -1, 0, 1, 2 , 3 ....} Even = ( ...-4, -2, 0, 2 , 4 ...} R+ = {all positive decimals} Note : u - means 'union'; n means 'intersection' , A' - means a complement to A Check all statements below that are tru