Hey all, I need 2 mathematical if-then statements that are true, but whose converses are false.

An example is:

Let m,n be in the Integers. If gcd(m,n) = 3, then m and n are divisible by 3.

Any help would be appreciated!

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- Feb 22nd 2011, 06:19 PMjstarks44444True implication whose converse is false
Hey all, I need 2 mathematical if-then statements that are true, but whose converses are false.

An example is:

Let m,n be in the Integers. If gcd(m,n) = 3, then m and n are divisible by 3.

Any help would be appreciated! - Feb 23rd 2011, 05:03 AMSoroban
Hello, jstarks44444!

Who gave you that example? .It's too complicated.

There are much simpler examples . . .

If a quadrilateral is a square, then it has four sides.

If an integer is divisible by 6, then it is even.

If two numbers are 8 and 9, then the product of the two numbers is 72.