## Question

###### Hope you are safe and well! i was doing my practice questions and I got stuck,...

hope you are safe and well! i was doing my practice questions and I got stuck, thank you so much in advance!

[Practice Question 4] The following two statements, and prove it by CONTRADIC-TION. You need to clearly mark your choice. Remember to clearly mark your choice, and to write every step of your proof clearly. (A) Suppose n € Z, if n3 + 5 is odd, then n is even. (B) Suppose a, b, c e Z, if alb and ac, then ał (b+c).

## Answers

(A) 21 n3+5 Lut n is eren. » n3 is even. n3ts will be odd. n is odd. (B) a, b, c ez, alb, axc. Let al (btc) alb bto=ma, MEN 7 nEM. b = na, y natc=ma » G= alm-n) - alo. - ax (b+c)

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