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# For the students in class A, the range of their heights is r

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Intern
Joined: 04 Dec 2016
Posts: 29
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: For the students in class A, the range of their heights is r  [#permalink]

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14 Oct 2017, 02:14
Bunuel wrote:
BANON wrote:
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?

(1) r < s
(2) g > h

Each statement alone is clearly insufficient. Now, when taken together the question becomes easier if you just visualize it. Given: G>H and R<S:

------------(MIN)----G, red is the range of A, r;
(MIN)------------H, blue is the range of B, s.

You can literally see that the least height of the students in class A is greater than the least height of the students in class B.

Hope it's clear.

Hi

can we Subtract the two inequalities given in the statements
1. r<s
2. g>h

1+2 combined : Subtracting 1 from 2 : g-r>h-s ...means Min of A > Min of B ...so C

is my steps correct?
Math Expert
Joined: 02 Sep 2009
Posts: 52231
Re: For the students in class A, the range of their heights is r  [#permalink]

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14 Oct 2017, 02:40
shoumodip wrote:
Bunuel wrote:
BANON wrote:
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?

(1) r < s
(2) g > h

Each statement alone is clearly insufficient. Now, when taken together the question becomes easier if you just visualize it. Given: G>H and R<S:

------------(MIN)----G, red is the range of A, r;
(MIN)------------H, blue is the range of B, s.

You can literally see that the least height of the students in class A is greater than the least height of the students in class B.

Hope it's clear.

Hi

can we Subtract the two inequalities given in the statements
1. r<s
2. g>h

1+2 combined : Subtracting 1 from 2 : g-r>h-s ...means Min of A > Min of B ...so C

is my steps correct?

1. You can only add inequalities when their signs are in the same direction:

If $$a>b$$ and $$c>d$$ (signs in same direction: $$>$$ and $$>$$) --> $$a+c>b+d$$.
Example: $$3<4$$ and $$2<5$$ --> $$3+2<4+5$$.

2. You can only apply subtraction when their signs are in the opposite directions:

If $$a>b$$ and $$c<d$$ (signs in opposite direction: $$>$$ and $$<$$) --> $$a-c>b-d$$ (take the sign of the inequality you subtract from).
Example: $$3<4$$ and $$5>1$$ --> $$3-5<4-1$$.

Check for more the links below:
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Joined: 24 Jan 2015
Posts: 53
Location: India
Re: For the students in class A, the range of their heights is r  [#permalink]

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15 Oct 2017, 18:01
Bunuel is this is a sub-600 level question?
Math Expert
Joined: 02 Sep 2009
Posts: 52231
Re: For the students in class A, the range of their heights is r  [#permalink]

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15 Oct 2017, 20:30
Amerendra wrote:
Bunuel is this is a sub-600 level question?

According to the stats based on 697 users' sessions, yes (you can check question stats in the first post). I'd still say that it might be slightly higher.
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Joined: 09 Sep 2013
Posts: 9419
Re: For the students in class A, the range of their heights is r  [#permalink]

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02 Nov 2018, 23:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For the students in class A, the range of their heights is r &nbs [#permalink] 02 Nov 2018, 23:10

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