Using a proof by contraposition, prove that if x and

sodni3

sodni3

Answered question

2021-08-14

Using a proof by contraposition, prove that if x and y are real numbers where
x+y2
then, x1ory1

Answer & Explanation

yunitsiL

yunitsiL

Skilled2021-08-15Added 108 answers

Let us assume that x<1 and y<1
Let us add the two inequalities x<1 and y<1:
x+y<1+1
Evaluate the sum:
x+y<2
We have then shown that "If x<1 and y<1, then x+y<2" is true, which implies that its contrapositive "If x+y2 hen x1ory1 is also true

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