Show that these statements are inconsistent: "If Miranda does not take a course in discrete mathematics, then she will not graduate." " If Miranda does not graduate, then she is not qualified for the job." "If Miranda reads this book, then she is qualified for the job." "Miranda does not take a course in discrete mathematics but she reads this book."

SolutionIn this question we have to show that these statements are inconsistent "If Miranda does not take a course in discrete mathematics, then she will not graduate."" If Miranda does not graduate, then she is not qualified for the job." "If Miranda reads this book, then she is qualified for the job.""Miranda does not take a course in discrete mathematics but she reads this book."Step 1 Let us assign these statements first p"If Miranda does not take a course in discrete mathematics, then she will not graduate."q" If Miranda does not graduate, then she is not qualified for the job." r"If Miranda reads this book, then she is qualified for the job."s"Miranda does not take a course in discrete mathematics but she reads this book."Assume these statements are consistent.