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 ; TrueB. 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 < 30D. If x > 30, then x > 20 ; True

The correct answer is:B. If x < 30, then x < 20 ; False -Counterexample: x=27 and x < 27. Explanation:The converse is formed by switching the hypothesis and conclusion.  The hypothesis is the part coming after "if"; the conclusion comes after "then."  This makes the hypothesis x < 20 and the conclusion x < 30.  This means the converse would beIf x < 30, then x < 20.However, if x = 27, which is less than 30, the converse is not true, since 27 is not less than 20.