SOLUTION: State which of the following are logical statements and then classify the statements as true or false.
a) 1 + 4 = 6
b) She is in our class
c) Butte is the capital of Montan
Algebra.Com
Question 762545: State which of the following are logical statements and then classify the statements as true or false.
a) 1 + 4 = 6
b) She is in our class
c) Butte is the capital of Montana
d) 3 + x = x + 3
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
They are all logical statements.
1 is false because 1 + 4 is 5 not 6
2 is undetermined because you don't specify who "she" is and you don't specify what class (even though you are included in "our", you might well be taking more than one class with different groups of students)
3 is false because the capital of Montana is either Helena or the letter M, but certainly not Butte.
4 is undetermined unless you assume 3 and all possible values of x are elements of a commutative or Abelian group. Given said assumption, the statement is true. However, there is nothing in the presentation of your question that would allow a true mathematician to make such an irrational assumption.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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