Answer:
E
Step-by-step explanation:
the reason is, for a direct relation between x and z we have too little information.
z could be huge, much, much bigger than y and x, or just bigger by 1 than y.
so, assume e.g. the following 2 scenarios
z = 6
y = 5
x = 4
and
z = 600
y = 26
x = 3
A
x + y > z
is true for the first scenario, but not for the second. so, it is not always true.
B
z - x < z - y
no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.
C
xz > yz
no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.
D
z/x < z/y
no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.
E
yz > xy
in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.
