TMUA Sed (CoderLovesEggs) Paper 2 with Solutions · Question 19

$x,y,z$ are numbers satisfying

|x|+|y|+z<|x|+y+|z|<x+|y|+|z|.

Consider the statements:

$P$ : $z^2>y^2$ ;

$Q$ : if $|x|>|z|$ , then $2y<x+z$ .

It follows that:

Aboth statements must be true;

Bone statement must be true, one statement may be true;

Cboth statements may be true;

Done statement must be true, one statement is never true;

Eone statement may be true, one statement is never true;

Fboth statements are never true.

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