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If 1 > g > 1/2 and -1 < h < -1/2, then which of the following expresse
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19 Mar 2021, 06:55
19 Mar 2021, 06:55
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If 1 > g > 1/2 and -1 < h < -1/2, then which of the following expresses all possible values of g – h?
A. 0 < g – h < 1
B. 0 < g – h < 2
C. 1/2 < g – h < 2
D. 1 < g – h < 3/2
E. 1 < g – h < 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 0 < g – h < 1
B. 0 < g – h < 2
C. 1/2 < g – h < 2
D. 1 < g – h < 3/2
E. 1 < g – h < 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: If 1 > g > 1/2 and -1 < h < -1/2, then which of the following expresse
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19 Mar 2021, 07:33
19 Mar 2021, 07:33
2
1 > g > 1/2 and -1 < h < -1/2
\(\frac{1}{2}\) < g < 1 & -1 < h < \(\frac{-1}{2}\)
for the range of h, by multiplying with -1, we will get \(\frac{1}{2}\) < -h < 1
By adding both the ranges
\(\frac{1}{2}\)+\(\frac{1}{2}\) < g - h < 1 + 1
1 < g-h < 2
Answer E
\(\frac{1}{2}\) < g < 1 & -1 < h < \(\frac{-1}{2}\)
for the range of h, by multiplying with -1, we will get \(\frac{1}{2}\) < -h < 1
By adding both the ranges
\(\frac{1}{2}\)+\(\frac{1}{2}\) < g - h < 1 + 1
1 < g-h < 2
Answer E
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Re: If 1 > g > 1/2 and -1 < h < -1/2, then which of the following expresse
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19 Mar 2021, 08:49
19 Mar 2021, 08:49
2
Carcass wrote:
If 1 > g > 1/2 and -1 < h < -1/2, then which of the following expresses all possible values of g – h?
A. 0 < g – h < 1
B. 0 < g – h < 2
C. 1/2 < g – h < 2
D. 1 < g – h < 3/2
E. 1 < g – h < 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 0 < g – h < 1
B. 0 < g – h < 2
C. 1/2 < g – h < 2
D. 1 < g – h < 3/2
E. 1 < g – h < 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Given:
1 > g > 1/2
-1 < h < -1/2
IMPORTANT
If we have two different inequalities in which the inequality signs are facing the same direction, then we can ADD the inequalities to get a new, valid inequality.
However, we can't SUBTRACT them (for more on this, watch: https://www.gmatprepnow.com/module/gmat ... /video/982)
That said, we can still use the above ADDITION strategy once we do one thing first
Take -1 < h < -1/2 and multiply all 3 parts by -1
Since we're multiplying by a NEGATIVE value, we must REVERSE the inequality signs to get: 1 > -h > 1/2
We now have:
1 > g > 1/2
1 > -h > 1/2
Since the inequality signs are facing the same direction, we can ADD the inequalities to get: 1 + 1 > g + (-h) > 1/2 + 1/2
Simplify to get: 2 > g - h > 1
We can also write this as 1 < g - h < 2
Answer: E
