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For the following statement write the converse, inverse, and contrapositive. Indicate as best as you can which among the statement, its converse, its inverse, and its contrapositive are true and which are false. Give a counterexample for each that is false. real numbers x, if x21 then x>0. Statement: real numbers x, if x21 then x>0. Contrapositive: real numbers x, if x0 then x20 then x21. Inverse: real numbers x, if x20. The statement and its contrapositive are false. As a counterexample, let x=2. Then x2=(2)2=4, and so x21. However x0. The converse and the inverse are also false. As a counterexample, let x= 1/2. Then x2=1/4, and so x>0 but x21. Statement: real numbers x, if x21 then x>0. Contrapositive: real numbers x, if x0 then x20 then x21. Inverse: real numbers x, if x20 but x2=1. Statement: real numbers x, if x21 then x>0. Contrapositive: real numbers x, if x0 then x20 then x20 but x21. Statement: re numbers x, if x21 then x>0. Contrapositive: real numbers x, if x0 then x20 then x21. Inverse: real numbers x, if x20. Contrapositive: real numbers x, if x0 then x20 then x21. Inverse: real numbers x, if x20. The converse and the inverse are also false. As a counterexample, let x= 1/2. Then x2=1/4, and so x>0 but x21