Discussion
If p > 2, then which one of the following inequalities must be false?
*This question is included in Nova Math - Problem Set N: Inequalities, question #34
| (A) | 2p > 7 |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 05/23/2012 15:52
There is no option F
Posted: 05/24/2012 16:12
(F) p/2 < 0
Thank you for noticing the error.
Thank you for noticing the error.
Posted: 07/30/2013 20:44
What about (B) and (C)
Posted: 07/31/2013 02:30
Hi Sudad,
If 3p < 7, then dividing both sides of this inequality by 3 yields p < 7/3 = 2 1/3. Now, if p = 2.25, then the inequality 2 < p < 2 1/3 is true. So, choice (B) need not be false.
If p < 3, then chose p = 2.5, which is greater than 2. Then 2 < p < 3. So, choice (C) need not be false.
Thus, neither (B) nor (C) must be false.
Nova Press
If 3p < 7, then dividing both sides of this inequality by 3 yields p < 7/3 = 2 1/3. Now, if p = 2.25, then the inequality 2 < p < 2 1/3 is true. So, choice (B) need not be false.
If p < 3, then chose p = 2.5, which is greater than 2. Then 2 < p < 3. So, choice (C) need not be false.
Thus, neither (B) nor (C) must be false.
Nova Press
Posted: 09/22/2014 16:21
The question asks "which one" must be false, not "which ones." I realize the option for multiple answers exists, but we're supposed to pay attention to the details of the question, so this phrasing is misleading.