Question

Check if proof is correct??

Answer 1

I am gonna rewrite it cause it looks messed up

Answer 2

Claim: Prove that for every rational number z , there exists irrational numbers x and y such that x+y=z

Answer 3

I did proof by contradiction

Answer 4

use mathway.com....it helps u ...all u have to do is type in the math question

Answer 5

Suppose z=0 and for all irrational numbers x and y, x+y (not equal to) 0. Let x=-y, then by susbtitution x+y=-y+y=0. THis is a contradiction-x+y cannot equal 0. Thus for every rational number z, there exists irrational numbers x and y such that x+y=z

Answer 6

the above is my proof

Answer 7

what i did was take the negation of the original statment

Answer 8

then found a contradiction