Tuesday, July 14, 2009

How do you call those math/logic problems where A =B, B = C and C = A?

Do you have any examples?

How do you call those math/logic problems where A =B, B = C and C = A?
It's called transitivity





example:





{x =y and y =z } ----%26gt; x =z
Reply:this is call ed the transitive law
Reply:Just like substitution if y= 3x+5 and y=4x+6


since we know y = 3x+5 we can substitute that into the other equation for y:





3x+5 = 4x+6





Now apply this same logic to your example


but instead:





y will be B


3x+5 will be A


4x+6 will be C





so instead of:


y= 3x+5 we have B=A





instead of:


y=4x+6 we have B=C





since B=A and B also =C


we can say that A and C (A=C) must be the same as well.





Hope that was helpful! :)

rose

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