(Section 0.2: Logic) 0.2.2 Example 1 (An “If-Then” Statement)Consider the statement: “IfI get an A, thenI pass.” This statement is of the form “Ifp, thenq,” where: pis the hypothesis“I get an A,” and qis the conclusion“I pass.” The statement is true, because there is no case where a student gets an A but does not pass. §The converseof p±qis q±p. Example 2 (An “If-Then” Statement and Its Converse)Consider the statement: “Ifa number is an integer, thenit is a rational number.” • That is, x±±()²x±². The statement is true, because everyinteger is also a rational number. We can write:x±±²x±².Now, consider the converseof the above statement: “Ifa number is a rational number,
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