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.
|a| is the distance point a is from the origin on the numbe
[#permalink]
12 Mar 2019, 10:38
12 Mar 2019, 10:38
Expert Reply
1
Bookmarks
00:00
Question Stats:
60% (01:00) correct
39% (00:32) wrong based on 102 sessions
Hide Show timer Statistics
\(|a|\) is the distance point a is from the origin on the number line. \(x ≠ 0\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(|x| + |-2|\) |
\(| x - 2 |\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
|a| is the distance point a is from the origin on the numbe
[#permalink]
12 Mar 2019, 13:51
12 Mar 2019, 13:51
1
Carcass wrote:
\(|a|\) is the distance point a is from the origin on the number line. \(x ≠ 0\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(|x| + |-2|\) |
\(| x - 2 |\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Let's test some possible cases
case i: x = 1
We get:
QUANTITY A: |x| + |-2| = |1| + |-2| = 1 + 2 = 3
QUANTITY B: |x - 2| = |1 - 2| = |-1| = 1
In this case, Quantity A is greater
case ii: x = -1
We get:
QUANTITY A: |x| + |-2| = |-1| + |-2| = 1 + 2 = 3
QUANTITY B: |x - 2| = |-1 - 2| = |-3| = 3
In this case, the two quantities are equal
Answer: D
RELATED VIDEO
Re: |a| is the distance point a is from the origin on the numbe
[#permalink]
16 Dec 2021, 12:08
16 Dec 2021, 12:08
1
Carcass wrote:
\(|a|\) is the distance point a is from the origin on the number line. \(x ≠ 0\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(|x| + |-2|\) |
\(| x - 2 |\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
This is similar to the case of: |x| + |y| >= |x + y|
here assume y as -2, so quantity A can either be greater than or equal to B. So answer is option D
