Please help to solve "Show that if m is irrational, then 2m+3 is irrational"

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- Sep 28th 2012, 08:23 PMPrasannaIrrational Numbers
Please help to solve "Show that if m is irrational, then 2m+3 is irrational"

- Sep 28th 2012, 08:50 PMjohnsomeoneRe: Irrational Numbers
Hint: Your proof might look like this:

"Assume that 2m+3 is rational.

Then... (something you can write down immediately).

And so ... (do some algebra).

Therefore ...(something about m), which contradicts the assumption that m is irrational.

Thus the initial assumption produced a contradiction, and so must have been false.

Therefore 2m+3 is irrational."