Let A = [ 1 , 1 ] and B = [ 2 , 1 ] [ 1 , 2 ]. Fill in the following proof outline to show that | A | = | B |

FR Problem 6. Let A = [-1, 1] and B = [-2, -1] U [1, 2]. Fill in the following proof outline to show that A = B Note: For parts (a) and (b), your answer must begin by asserting some property the function has, prove that property, and then conclude | A| O | B|. a) Let f : A -> B be the function: f(2) = 2x 1 if (x > 0.5) V (x signs. b) Let g : A - Bbe the function: 9(x) = 3+r 2 Note that because -1 signs c) Conclude | A = |B