Consider the statement below. Then, write the contrapositive of the statement and determine its truth value. Provide justification to your answer to receive credit.

If a bus is yellow, then it must be a schoolbus.

Question

Consider the statement below. Then, write the contrapositive of the statement and determine its truth value. Provide justification to your answer to receive credit.

If a bus is yellow, then it must be a schoolbus.

anonymous · Answer

contrapositive  : If a bus is not a schoolbus, then it must not be yellow

Is this right ?

anonymous · Answer

@campbell_st  @UnkleRhaukus

anonymous · Answer

@jeremyggg

anonymous · Answer

someone help please...

anonymous · Answer

@hartnn

anonymous · Answer

yes flip the statements, then invert them

then evaluate for truth

anonymous · Answer

thank you :) what about the truth value ?

anonymous · Answer

determine its truth value. Provide justification to your answer to receive credit.

anonymous · Answer

tricky one though .. the 'must' is confusing.

if a bus is NOT yellow, then it must NOT be a schoolbus.
this would be true.. but then how to flip it?
if it must NOT be a schoolbus then a bus is NOT yellow...

is kind of off gramatically.. but it would be false because some  busses could be yellow.

anonymous · Answer

ALL yellow busses are school busses, but other colors could be school busses too.

anonymous · Answer

I think the first way he said it was perfect. If a bus is not a school bus, it must not be yellow. 
This is because school buses can be any color but the color yellow is specifically reserved for school buses.