Last visit was: 19 May 2026, 15:25 It is currently 19 May 2026, 15:25
Close
GMAT 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 GMAT 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
User avatar
mkarthik1
Joined: 10 Mar 2015
Last visit: 21 Oct 2020
Posts: 36
Own Kudos:
Given Kudos: 61
Status:About to write GMAT
Location: India
GMAT 1: 700 Q49 V37
GPA: 4
WE:Web Development (Consulting)
GMAT 1: 700 Q49 V37
Posts: 36
Kudos: 45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
dabral
User avatar
Tutor
Joined: 19 Apr 2009
Last visit: 29 Nov 2024
Posts: 557
Own Kudos:
667
 [2]
Given Kudos: 19
Affiliations: GMATQuantum
Expert
Expert reply
Posts: 557
Kudos: 667
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
mkarthik1
Joined: 10 Mar 2015
Last visit: 21 Oct 2020
Posts: 36
Own Kudos:
Given Kudos: 61
Status:About to write GMAT
Location: India
GMAT 1: 700 Q49 V37
GPA: 4
WE:Web Development (Consulting)
GMAT 1: 700 Q49 V37
Posts: 36
Kudos: 45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
dabral
User avatar
Tutor
Joined: 19 Apr 2009
Last visit: 29 Nov 2024
Posts: 557
Own Kudos:
667
 [1]
Given Kudos: 19
Affiliations: GMATQuantum
Expert
Expert reply
Posts: 557
Kudos: 667
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi karthik,

I would drop the scenario of subtracting two inequalities, that only holds in special cases and there is no need to examine those in a GMAT type problem. Instead, on the GMAT always try to add them after matching there senses. There are no restrictions when you add two inequalities, and you do not need to pay attention to any constraints.

Here is a classic example of an official GMAT inequalities question:

Is \(y<2\)?

1)\(x>2y\)
2)\(x<y+2\)

We will only look at combining the two statements.

Multiply the second equation by -1 to give

\(-x > -y-2\)

Now they have the same sense. Add these two equations to give

\(-x + x > 2y - y - 2\)

which simplifies to:
\(0>y-2\) or \(y<2\).

Note here that we are multiplying by -1 because our goal is to eliminate the x term, because the question is asking about the y term. We could choose to eliminate the y term if the question was asking about the constraint on the x term.

Dabral
User avatar
mkarthik1
Joined: 10 Mar 2015
Last visit: 21 Oct 2020
Posts: 36
Own Kudos:
Given Kudos: 61
Status:About to write GMAT
Location: India
GMAT 1: 700 Q49 V37
GPA: 4
WE:Web Development (Consulting)
GMAT 1: 700 Q49 V37
Posts: 36
Kudos: 45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi dabral,

A very nice trick of multiplying the inequality by -1.

These techniques are very specific and cannot be applied to all types of problems.

Can you suggest some tricks for inequalities which also involve a Modulus?

For example:

|2-x| >= |1+2x|
find the range of x

This is a small example but sometimes involves cumbersome calculations of checking for each case.
Squaring on both sides can be done but this would be problem specific.

I would like to know a rock solid strategy which would be applicable to all sort of inequalities.

Thanks,
Karthik
Moderators:
203 posts
General GMAT Forum Moderator
474 posts