Give the converse, the contrapositive, and the inverse of these conditional statements.a) If it rains today, then I will drive to work.________________b) If |x|=x, then x ? 0.________________c) If n is greater than 3, then n2 is greater than 9.
Solution a)Step 1 :The objective is to show converse, the contrapositive, and the inverse of these conditional statements.Step 2 :If a and b denotes two compound proposition and a, represents their conditional statement then their converse, the contrapositive and the inverse.i). Converse is ii). Contrapositive is iii). Inverse is Step 3 :Given statement is “ If it rains today, then I will drive to work “ .The converse of given statement is “If i will drive to work, then it rains today”.The contrapositive is “If i willn’t drive to work, then it will not rain today”.The inverse is “ If it not rain today, then i willn’it drive to work”.Solution b).
