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queenisabella
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source: manhattan prep
If r + s > 2t, is r > t ?
(1) t > s
(2) r > s
The OA is D.. however and answer solution included below. QUESTION - how can add the 2 equations together to get the answer? Why can perform these operations unless we know that all these variables are > 0?
(1) SUFFICIENT: We can combine the given inequality r + s > 2t with the first statement by adding the two inequalities:
r + s > 2t
t > s
r + s + t > 2t + s
r > t
(2) SUFFICIENT: We can combine the given inequality r + s > 2t with the second statement by adding the two inequalities:
r + s > 2t
r > s
2r + s > 2t + s
2r > 2t
r > t
If r + s > 2t, is r > t ?
(1) t > s
(2) r > s
The OA is D.. however and answer solution included below. QUESTION - how can add the 2 equations together to get the answer? Why can perform these operations unless we know that all these variables are > 0?
(1) SUFFICIENT: We can combine the given inequality r + s > 2t with the first statement by adding the two inequalities:
r + s > 2t
t > s
r + s + t > 2t + s
r > t
(2) SUFFICIENT: We can combine the given inequality r + s > 2t with the second statement by adding the two inequalities:
r + s > 2t
r > s
2r + s > 2t + s
2r > 2t
r > t
