Say P and Q are propositions. Given the implication P=> Q, or P :2 Q . its inverse is IP =>:Q, or ~P D ~Q . the converse is Q => P, or Q3 P . its contrapositive is Q =>-P or ~Q 3 ~P Write the conditional statements for inverse, converse and contrapositive of the following implication: 1. If this book is interesting, then I am staying at home. 2. If you are more than 60 years old, then you are entitled to a senior citizen's card. Follow this pattern 1. P: This book is interesting. Q: I am staying at home. ~ P 3 ~ Q: If this book is not interesting then I am not staying at home. Q 3 P: If I am staying at home then this book is interesting. ~ Q 3 ~ P: If I am not staying at home then this book is not interesting. 2. P: You are more than 60 years old. Q: You are entitled to a senior citizen's card. ~P 3 ~ Q: If you are not more than 60 years old then you are not entitled to a senior citizen's card. Q 3 P: If you are entitled to a senior citizen's card then you are more than 60 years old. ~ Q 3~ P: If you are not entitled to a senior citizen's card then you are not more than an \\Inarc nlrl