SOLUTION: 29: The converse of the statement: "If you are baking brownies, then the kitchen smells good", is "If the kitchen smells good, then you are baking brownies."

Question 79708: 29: The converse of the statement: "If you are baking brownies, then the kitchen smells good", is "If the kitchen smells good, then you are baking brownies."
Answer by doctor_who(15) (Show Source): You can put this solution on YOUR website!
No, not necessarily. The kitchen might smell good because you are roasting some coffee.
What's the application to maths ? Well, it is in the area of logic. Without getting too detailed, the first statement "if you are baking brownies .. then.." is a statement of the form "If A then B" and we are investigating if the converse is always true, ie IF B THEN A.
Consider these two statements :
(i) If x=2 then x is an even number (TRUE)
(ii) If x is an even number, then x = 2 (FALSE, x could be 4, 6, 8, 10 etc.)
So just reversing a satement around does not guarantee that it is equally true. Consider these two statements for example :
(i) My dog is brown
(ii) That dog over there is brown so therefore it must be my dog.
You get the idea ?
So what is a good converse statment ?
It IS true to say (assuming the first statement to be always true) : "If the kitchen does not smell good then you are not baking brownies". (ANSWER)
RELATED QUESTIONS
I need major help on how to answer these questions and what they are. :( this is an... (answered by Fombitz)

Given the conditional statement , write the related statements converse, inverse and... (answered by math_helper)

The perimeter of a kitchen is 528in if the width is 120in. What is the length of the... (answered by RVCV)

If a rectangular kitchen has an area of 160 ft.� and the length is 12 feet more than the (answered by Alan3354,josgarithmetic)

Write the converse of this statement. If 2 angles are supplementary, then they are not (answered by josgarithmetic)

Write the converse of the conditional statement below : If it is raining, then there... (answered by jim_thompson5910)

Jack and Jill are planning a new kitchen. The old kitchen measured 12 feet by 18 feet.... (answered by fractalier)

bob and sue are planning a new kitchen . the old kitchen measured 6 feet by 8 feet . the... (answered by josgarithmetic)

A kitchen is 10 ft long and 8 ft wide. If the kitchen floor tiles are 2 1/2 in by 2... (answered by edjones)