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

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Joined: 04 Dec 2016
Posts: 15

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Re: For the students in class A, the range of their heights is r [#permalink]

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14 Oct 2017, 03:14
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?

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Joined: 02 Sep 2009
Posts: 41909

Kudos [?]: 129564 [0], given: 12202

Re: For the students in class A, the range of their heights is r [#permalink]

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14 Oct 2017, 03:40
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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Re: For the students in class A, the range of their heights is r [#permalink]

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15 Oct 2017, 19:01
Bunuel is this is a sub-600 level question?

Kudos [?]: [0], given: 18

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Joined: 02 Sep 2009
Posts: 41909

Kudos [?]: 129564 [0], given: 12202

Re: For the students in class A, the range of their heights is r [#permalink]

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15 Oct 2017, 21:30
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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Re: For the students in class A, the range of their heights is r   [#permalink] 15 Oct 2017, 21:30

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