Yes.
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
A trapezium.
an example of this is like taking a statement and making it negative, i think.... Such as, "All animals living in the ocean are fish." A counterexample would be a whale(mammal), proving this statement false.
There cannot be a counterexample since the assertion is true. This requires you to accept the true fact that the terminating decimal 1.25, for example, is equivalent to the repeating decimal 1.25000... (or even 1.24999.... ).
A counterexample is a specific case in which a statement is false.
Yes.
It's a counterexample.
Counterexample
A trapezium.
find a counterexample to the statement all us presidents have served only one term to show statement is false
an example of this is like taking a statement and making it negative, i think.... Such as, "All animals living in the ocean are fish." A counterexample would be a whale(mammal), proving this statement false.
A mouse is a mammal, but it us not a monkey.
if the qoutient of two numbers is positive, then both numbers must be a rectangle.
To be true a Conjecture must be true for all cases.
False. Counterexample: -1 - (-2) = -1 + 2 = 1.
There cannot be a counterexample since the assertion is true. This requires you to accept the true fact that the terminating decimal 1.25, for example, is equivalent to the repeating decimal 1.25000... (or even 1.24999.... ).