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If x is an integer and y = –2x – 8, what is the least value of x for w
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16 Mar 2021, 06:37
16 Mar 2021, 06:37
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If x is an integer and y = –2x – 8, what is the least value of x for which y is less than 9?
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 16 Apr 2020
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If x is an integer and y = –2x – 8, what is the least value of x for w
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16 Mar 2021, 06:58
16 Mar 2021, 06:58
Carcass wrote:
If x is an integer and y = –2x – 8, what is the least value of x for which y is less than 9?
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
\(y < 9\)
\(–2x – 8 < 9\)
\(-2x < 17\)
\(x > -8.5\)
So, \(x\) must be \(-8\)
Hence, option B
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Posts: 6218
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Re: If x is an integer and y = –2x – 8, what is the least value of x for w
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16 Mar 2021, 09:01
16 Mar 2021, 09:01
1
Carcass wrote:
If x is an integer and y = –2x – 8, what is the least value of x for which y is less than 9?
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
In other words, find the smallest INTEGER value of x such that -2x - 8 < 9
Take: -2x - 8 < 9
Add 8 to both sides to get: -2x < 17
Divide both sides by -2 to get: x > -8.5 [NOTE: since we divided by a NEGATIVE value, we reversed the inequality symbol]
The smallest INTEGER that's greater than -8.5 is -8
Answer: B
