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Which of the following inequalities is equivalent to 10 – 2x > 18?
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16 Mar 2021, 06:35
16 Mar 2021, 06:35
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Which of the following inequalities is equivalent to 10 – 2x > 18?
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
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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Which of the following inequalities is equivalent to 10 – 2x > 18?
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16 Mar 2021, 07:00
16 Mar 2021, 07:00
Carcass wrote:
Which of the following inequalities is equivalent to 10 – 2x > 18?
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
\(10 – 2x > 18\)
\(-2x > 8\)
\(\frac{-2x}{(-2)} > \frac{8}{(-2)}\)
Whenever we divide or multiply each side with a -ve number, the inequality flips
\(x < -4\)
Hence, option E
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Re: Which of the following inequalities is equivalent to 10 – 2x > 18?
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16 Mar 2021, 09:02
16 Mar 2021, 09:02
1
Carcass wrote:
Which of the following inequalities is equivalent to 10 – 2x > 18?
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Another approach to test values of x and eliminate answer choices.
An easy one to start with is x = 0
Replace x with 0 to get: 10 – 2(0) > 18
Simplify to get: 10 > 18. Doesn't work.
So, x cannot equal 0.
Since answer choices B and D suggest that 0 is a possible value of x, we can ELIMINATE those answer choices
We're left with A, C and E
Now try x = 15
Replace x with 15 to get: 10 – 2(15) > 18
Simplify to get: -20 > 18. Doesn't work.
So, x cannot equal 15.
Since answer choices A and C suggest that 15 is a possible value of x, we can ELIMINATE those answer choices
By the process of elimination, we can conclude that the correct answer is E
