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

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

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New post 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.

Answer: C.

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

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New post 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.

Answer: C.

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?


ADDING/SUBTRACTING INEQUALITIES

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

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

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

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New post 15 Oct 2017, 21:30

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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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