PSAT abstract inequality question.

  • #1
ElijahRockers
Gold Member
270
10
p<q, r<s, and r<q.

Which of the following statements must be true?

I. p<s
II. s<q
III. r<p

The correct answer could be either one statement, a combination of statements, or none of the statements. Came accross this question while helping some highschool students prepare for their SATs and I'm embarassed to say it stumped me.
 

Answers and Replies

  • #2
Mentallic
Homework Helper
3,798
94
Try drawing an unlabelled number line, and place 4 points on the line. For the first, p<s, let's assume that p>s. Since for the first two criteria p<q and r<s, this means that the only way the order can fit is if it's r,s,p,q, and since the last criteria r<q holds as well, that means we've found a scenario where p is not less than s, so I. is not necessarily true.
 
  • #3
ElijahRockers
Gold Member
270
10
Yea, I pretty much came to the conclusion that none of the three statements are necessarily true.
 
  • #4
Mentallic
Homework Helper
3,798
94
Yep, precisely.
 

Related Threads on PSAT abstract inequality question.

  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
4
Views
842
  • Last Post
Replies
10
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
9
Views
1K
Top