Problem 2 of Supplementary Exercises of Chapter 1

Find the Converse, Contrapositive and inverse of:

a) "If it rains today, then I will drive to work" Converse - "If I drive to work then it will rain today" Contrapositive - "If I don.t drive to work then it will not rain today" Inverse - "It it does not rain today then I will not drive to work today"

b) "If |x| = x then x > 0" Converse - "If x > 0 then |x| = x" Contrapositive - "If x < 0 then |x| =/= x" Inverse - " If |x| =/= x then x < 0"

c) "If n is great than 3, then n^2 is greater than 9" Converse - "If n^2 is greater than 9, then n is greater than 3" Contrapositive - "If n^2 is less than or equal to 9, then n is less than or equal to 3" Inverse - "If n is less than or equal to 3, then n^2 is less than or equal to 9"