Homework Statement
I just need to decide how to show this by contradiction.
If either A or B is the empty set then AxB=\oslash.
Homework Equations
The Attempt at a Solution
Here is how I started:
Assume either A or B is the empty set and AxB\neq\oslash
Homework Statement
GCSE past paper question.
prove algebraically that the sum of the squares of any two consecutive even integers is never a multiple of 8Homework Equations
none
The Attempt at a Solution
n and x are integers 2x and 2x+2 represent two consecutive even integers.
see attachment.
[SOLVED] basic math proof by contradiction
Homework Statement
prove: If a and b are positive numbers, a/b +b/a>=2
Homework Equations
The Attempt at a Solution
by contradiction (a^2+b^2)/ab<2 and got lost
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Hello everyone! THe directions are the following:
Carefully formulate the negations of each of the statements. Then prove each statement by contradiction.
Here is the problem:
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hello all
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