Disprove by counter example Revision
Find an example that proves the statement false
For example:
Disprove by counter example that infinity does not exist?
let n be the largest number you can think of: n ⋲ 𝝢
n+1
A number can always be increased by a number > 0, so infinity must exist
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Question Answer
Light
Consider the
statement:
If x ∈ R, then (x²-1)²
> 0.
or, equivalently,
For every real number
x, (x²-1)² > 0.
Show that the
statement is false by
exhibiting a
counterexample.
Disprove the
statement:
If x is a real number,
then tan²x+1=sec²x.
Disprove the
statement:
if x ∈ Z then
x²+x/x²-x = x+1/x-1
Disprove the
statement:
For every odd positive
integer n, 3|(n²-1).
Find an example that proves the statement false
For example:
Disprove by counter example that infinity does not exist?
let n be the largest number you can think of: n ⋲ 𝝢
n+1
A number can always be increased by a number > 0, so infinity must exist
Traffic
Question Answer
Light
Consider the
statement:
If x ∈ R, then (x²-1)²
> 0.
or, equivalently,
For every real number
x, (x²-1)² > 0.
Show that the
statement is false by
exhibiting a
counterexample.
Disprove the
statement:
If x is a real number,
then tan²x+1=sec²x.
Disprove the
statement:
if x ∈ Z then
x²+x/x²-x = x+1/x-1
Disprove the
statement:
For every odd positive
integer n, 3|(n²-1).
