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Write the converse of the following true conditional statement. If the converse is false, write a counterexample.
Write the converse of the following true conditional statement. If the converse is false, write a counterexample.If x < 20, then x < 30.
A. If x < 30, then x < 20 ; True
B. If x < 30, then x < 20 ; False -Counterexample: x=27 and x < 27.
C. If x > 20, then x > 30 ; False -Counterexample: x=25 and x < 30
D. If x > 30, then x > 20 ; True
Theconverseof the conditional statement "If x < 20, then x < 30" is "If x < 30, then x < 20."The converse statement is not true, because there are values of x that are less than 30 but are greater than or equal to 20.Therefore, the counterexample is: x = 27.If x = 27, thestatement"If x < 30, then x < 20" is false because 27 is less than 30 but not less than 20.Therefore, the answer is B) If x < 30, then x < 20 ; False -Counterexample: x=27 and x < 27.To learn more aboutconditional statementbrainly.com/question/27839142#SPJ11...
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