Three parallel planes is the only graph of a system that has no solutions.

True

False

@Joel_the_boss

Question

Three parallel planes is the only graph of a system that has no solutions. 
 

 





 
 
  
True 


 




 
 
  
False 


 

 
 
@Joel_the_boss

perl · Answer

you can have no parallel lines and still be no solution

perl · Answer

|dw:1414068023188:dw|

perl · Answer

|dw:1414068055690:dw|

perl · Answer

a solution is a point that falls on all three lines . there are only two cases. either all the lines are on top of each other, or they intersect at one unique point.

anonymous · Answer

it says "3 parallel plans"

perl · Answer

oh woops, but its the same idea (with planes )

perl · Answer

|dw:1414068229589:dw|

perl · Answer

|dw:1414068333523:dw|

loser66 · Answer

@perl how can they be "parallel"?

anonymous · Answer

false isnt

ganeshie8 · Answer

http://stweb.peelschools.org/jfsweb/mga4u/unit3/IMAGES3/plane6b.gif

perl · Answer

the question was 
"Three parallel planes is the only graph of a system that has no solutions. " 
this is false, there are other cases where three planes have no solutions but they are not all parallel

anonymous · Answer

ya i agree with him

ganeshie8 · Answer

the surface of a tetrahedron may be a good example for no solution no parallel planes

ganeshie8 · Answer

tetrahedron wont work
i think a prism might work..

ganeshie8 · Answer

*triangular prism

loser66 · Answer

Why don't we use the logic: 3 // planes has many solutions to prove the sentence is false?

perl · Answer

to disprove you just need a counterexample

ganeshie8 · Answer

yeah one contradiction is sufficient

perl · Answer

we constructed cases where there are no solutions, yet the three planes are not all parallel

anonymous · Answer

true