what is a counterexample in general...?

Question

What is a counterexample in general.. and could you help me on a few of my questions of math... my teacher gives us our homework and does not explain it until tomorrow.. i know it is gay but i have to live with it...

write a counterexample if the statement is false
1. if an angle measures 94 degrees then it is obtuse
2. if terry lives in Tampa, then she lives in florida

Thanks for any answers and please dont answer this if you dont know the answer

Answer 1

A counterexample is an example of something that disproves a claim. For example, if I said "All numbers are less than one million. Take 1 for example. Or 2. Or 3. Or 4." All you'd have to point out is a single counter-example like 2 million to disprove my claim.

>>i know it is gay but i have to live with it...

Actually, I don't find anything homo-erotic about it. But I digress.

1. If you know what an obtuse angle is, then you know whether this statement is true or false.
2. Hint: does "Tampa" necessarily refer to Tampa, Florida? Or are there other cities named Tampa?

Answer 2

A counterexample is a specific example which shows that a certain statement is false. As an example consider the "theorem" which states that every rectangle is a square. A counterexample might be as follows: consider a rectangle with two opposite sides = 5, and the other pair of opposite sides =3. This is not a square, because a square has all four sides equal.

Both your given statements are true, hence do not admit counterexamples.

Answer 3

What you have to do with a counterexample is to write something that shows a statement is false.

For number 1, that is true, so you don't have to write a counterexample, just as the directions say.

For number 2, it is also true, so I don't think you have to do a counterexample for either one.

I could be wrong, just give it a shot.

Answer 4

This Site Might Help You.

RE:
what is a counterexample in general...?
What is a counterexample in general.. and could you help me on a few of my questions of math... my teacher gives us our homework and does not explain it until tomorrow.. i know it is gay but i have to live with it...

write a counterexample if the statement is false
1. if an angle measures 94...

Answer 5

What Is A Counterexample

Answer 6

Geezah's definition is good. For the statements given, the first one is definitely true, so no counterexamples. The second one is false IF there is another state with a town named Tampa. (OK, Fred or George says there is a Tampa, Oregon. There you go. Or maybe not - I don't get a zip code when I enter Tampa OR on the USPS postal site.)

* * * * *

Awright, I found another Tampa! It is Tampa, Kansas, population 113, where the sights to see are the Santa Fe Trail marker (with genuine wagon ruts!) and the old grade school. The latter "is almost in ruins, but it was magnificent."

http://skyways.lib.ks.us/towns/tampa.html

So, if Terry is one of the 113 people living in Tampa, Kansas, there is your counterexample (heh heh...)

Answer 7

The first is true
The second could be false, because She could live in Tampa, Oregon. So your counterexample is any example of when a statement could be false.

Answer 8

For the best answers, search on this site https://shorturl.im/FlYXM

Let X and Y be given by [a  b] [c  d] and [e  f] [g  h] respectively. Then X+Y is given by [a+e  b+f] [c+g  d+h] tr(X) = a + d, tr(Y) = e + h, tr(X+Y) = a + e + d + h = tr(X) + tr(Y) tr(XY) ≠ tr(X)tr(Y) in general. As a counterexample, let X = Y = I (2×2 identity matrix). Then tr(X) = tr(Y) = 2 tr(XY) = tr(I) = 2 ≠ tr(X)tr(Y)

Answer 9

1. true
2. false, you could live in tampa, some other place

Answer 10

Geezah kno's all:)