Thanks for the answer! By different answers I mean they think it's true and provided "proofs" to support their assertions, but I know where they made their mistakes now. Thanks again for your help!
Homework Statement
Determine if the statement is true or false. Prove those that are true and give a counterexample for those that are false.
If r is any rational number and if s is any irrational number, then r/s is irrational.
Homework Equations
A rational number is equal to the...
Homework Statement
Prove by contradiction. Your proof should be based only on properties of the integers, simple algebra, and the definition of rational and irrational.
If a and b are rational numbers, b does not equal 0, and r is an irrational number, then a+br is irrational.
Homework...
Homework Statement
Determine the values of h such that the matrix is the augmented matrix of a consistent linear system.
[1 h -5]
[2 -8 6]
Homework Equations
None that I know of.
The Attempt at a Solution
Multiplied row (1) by -2:
[-2 -2h 10 ]
[ 2 -8 6 ]
and...