Is x y? (1) -4x + 2y wy

Question

Is x > y?

(1) -4x + 2y < y - 3x

(2) wx > wy

LevanKhukhunashvili · Answer

1 stm: -4x + 2y < y - 3x if we add 4x to both sides and subtract both sides by y, we get y y wx > xy, But if x=-1 y=-2 w=-5 x > y, wx < wy insuff IMO Ans: A

chetan2u · Answer

Is x > y? (1) -4x + 2y < y - 3x -4x+2y wy wx-wy>0.........w(x-y)>0 If w>0, then x-y>0 or x>y if w<0, then x-y<0 or x

gmat1393 · Answer

Upon rearranging statement 1 we get

-x<-y => x>y

Statement 1 is sufficient

from Statement 2 we do not anything about the value of W.So clearly it is insufficient.

Hence A is the Answer.

KrishnakumarKA1 · Answer

Solution: To find: x > y? No other information given in the question stem lets directly analyze the statements! Analysis of statement 1: -4x + 2y < y - 3x Let’s solve the given inequality: -4x+2yy . We get a definite answer as “YES” to the question. Hence statement 1 is sufficient to answer. We can eliminate options B, C and E. Analysis of statement 2: wx > wy By analyzing the statement 2 we get two cases here, Case 1: wx>wy wx-wy>0 ; w(x-y)> 0 If w>0 ,then x-y>0 ;this means x>y . Hence gives definite “yes” to the question. Case 2: wx>wy wx-wy>0 ; w(x-y)> 0 If w<0 ,then x-y<0 ;this means x

BrentGMATPrepNow · Answer

Target question : Is x > y? Statement 1 : -4x + 2y < y - 3x Add 4x to both sides to get: 2y < y + x Subtract y from both sides to get: y < x Perfect, the answer to the target question is YES, x IS greater than y Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2 : wx > wy ASIDE: We must resist the temptation to divide both sides of the inequality by w to get: x > y, because we don't know whether w is NEGATIVE or POSITIVE. If we divide both sides of an inequality by a NEGATIVE number, we must REVERSE the direction of the inequality symbol. To better understand what I mean, consider the following. There are several values of w, x and y that satisfy statement 2. Here are two: Case a : w = 1, x = 2 and y = 1. Notice that wx = (1)(2) = 2, and wy = (1)(1) = 1, so wx > wy. In this case, the answer to the target question is YES, x IS greater than y Case b : w = -1, x = -2 and y = -1. Notice that wx = (-1)(-2) = 2, and wy = (-1)(-1) = 1, so wx > wy. In this case, the answer to the target question is NO, x is NOT greater than y Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Answer: A Cheers, Brent RELATED VIDEO FROM OUR COURSE https://www.youtube.com/watch?v=Od98BOicIq4

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Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy

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