Discussion
Is −x − y > −u − v?
(1) x < u and y < v.
(2) x = 3, y = 4, u = 7, and v = 9
| (A) | if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient; |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 08/11/2013 18:26
In the statement (1) you can have x as a negative number, for example x = -5 and y = 2. In this case, you can have -(-5)-2 > -1-3.
Therefore statement (1) is not enough to take a decision, right?
Therefore statement (1) is not enough to take a decision, right?
Posted: 08/11/2013 19:06
Hi Reginaldo,
It appears that you also chose u = 1 and v = 3. With these numbers, the inequality -x - y > -u - v is true, as you partially calculate. Finishing the calculation gives
5 - 2 > -1 - 3
or
3 > -4
This inequality is true.
Thus, with your numbers, you are able to determine whether the inequality is true or false (in this case, true). This confirms our work in the solution, namely, that with Statement (1) the inequality -x - y > -u - v is always true.
Nova Press
It appears that you also chose u = 1 and v = 3. With these numbers, the inequality -x - y > -u - v is true, as you partially calculate. Finishing the calculation gives
5 - 2 > -1 - 3
or
3 > -4
This inequality is true.
Thus, with your numbers, you are able to determine whether the inequality is true or false (in this case, true). This confirms our work in the solution, namely, that with Statement (1) the inequality -x - y > -u - v is always true.
Nova Press