In a coded inequality system: @ means (greater than) # means

Q: In a coded inequality system: @ means > (greater than) # means < (less than) $ means = (equal to) % means ≥ (greater than or equal to) & means ≤ (less than or equal to) Statement: P @ Q # R $ S Conclusions: I. P @ R II. S @ Q Which conclusion(s) follow?

(C) Both I and II. Explanation: P>Q Q and R=S>Q: S>Q (II ✓). P>Q and R>Q but we can't directly compare P and R so... wait: P>Q and Q Q is true (R=S and R>Q). I: P>R — cannot be determined. Only II follows.

Question

In a coded inequality system:
@ means >  (greater than)
# means <  (less than)
$ means =  (equal to)
% means ≥  (greater than or equal to)
& means ≤  (less than or equal to)

Statement: P @ Q # R $ S
Conclusions:
I.  P @ R
II. S @ Q
Which conclusion(s) follow?

Accepted Answer

(C) Both I and II. Explanation: P>QQ and R=S>Q: S>Q (II ✓). P>Q and R>Q but we can't directly compare P and R so... wait: P>Q and QQ is true (R=S and R>Q). I: P>R — cannot be determined. Only II follows.