Last visit was: 22 Dec 2024, 03:44 It is currently 22 Dec 2024, 03:44

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30454
Own Kudos [?]: 36813 [2]
Given Kudos: 26100
Send PM
Manager
Manager
Joined: 05 Sep 2023
Posts: 63
Own Kudos [?]: 66 [1]
Given Kudos: 11
Send PM
Intern
Intern
Joined: 30 Jan 2024
Posts: 27
Own Kudos [?]: 6 [0]
Given Kudos: 23
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30454
Own Kudos [?]: 36813 [1]
Given Kudos: 26100
Send PM
y x < 1 3y > x + 6 In the xy-plane if the point with coordinates (a, [#permalink]
1
Expert Reply
If we convert the inequalities into a standard equation. remember this is a MUST be true question

we do have that

\(y-x<1\)

\(y-x=1\)

\(y=x+1\)

Same for \(3y>x+6\)

\(3y=x+6\)

\(y=x/3+2\)

Now to the observation

1) 𝑦-intercept is 1, i.e. (0,1) and slope is positive. and 𝑦-intercept is 2 i.e. (0,2) and slope is positive so we do know that both are in the I quadrant and must be positive BOTH Therefore D and E are suddenly out

2) y=x+1 and in A a> b should follow that x>y but this is NOT true because we do know that x+1 is Y. For example 3=2+1; x can not be > y; So A is out

3) in B a<b which means that x<y this could be true or not. From the second equality we do know that if x=1 we do have that y=1/3+6=6.3 and in this case a<b BUT if we do have that x is 9 we have that y is also 9 and x=y

The only thing that must be true s that both x and y are positive. The only answer choice correct is C
Prep Club for GRE Bot
y x < 1 3y > x + 6 In the xy-plane if the point with coordinates (a, [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne