Question 76
Prove that for every pair of real numbers $x,y$,
$$|x+y|+|x+1|+|y+1|\ge2.$$
For which $x$ does there exist $y$ such that $|x+y|+|x+1|+|y+1|=2$?
$$|x+y|+|x+1|+|y+1|\ge2.$$
For which $x$ does there exist $y$ such that $|x+y|+|x+1|+|y+1|=2$?