GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Which of the following inequalities is equivalent to 10 – 2x > 18?
[#permalink]
16 Mar 2021, 06:35
16 Mar 2021, 06:35
Expert Reply
2
Bookmarks
00:00
Question Stats:
74% (00:30) correct
25% (00:48) wrong based on 31 sessions
Hide Show timer Statistics
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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Which of the following inequalities is equivalent to 10 – 2x > 18?
[#permalink]
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following inequalities is equivalent to 10 – 2x > 18?
[#permalink]
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
