Write a converse of the following true conditional statement. if the converse is false, write a counter example.

if x>9, then x>0

A. if x<0, then x<0; false

B. Counterexample: x=8 and x>0

if x<0 then, x<9; true

C. if x9; false

counterexample: x=2 and x>0

D. if x>0, then x>9; false

counterexample: x = 2, and x<9

Question

Mathematics

Mike Levy

25 May, 13:39

Write a converse of the following true conditional statement. if the converse is false, write a counter example.

if x>9, then x>0

A. if x<0, then x<0; false

B. Counterexample: x=8 and x>0

if x<0 then, x<9; true

C. if x9; false

counterexample: x=2 and x>0

D. if x>0, then x>9; false

counterexample: x = 2, and x<9

+1

Answers (1)

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Tommy Lowe · Answer 1

Answer D. if x>0, then x>9; false

counterexample: x = 2, and x<9

Explanation:

if x > 0, then x > 9 is the converse statement

The converse is statement puts the part after the then as partt of the if, and the part after the if as part of the then. This way if a then b, becomes if b then a.

Provided that the original statement is true, the converse may o may not be true.

In this case the converse is not true, and it is showed by a counter example. x = 2 is greater than 0 but it is not greater than 9.