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|a| is the distance point a is from the origin on the numbe
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12 Mar 2019, 10:38
12 Mar 2019, 10:38
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\(|a|\) 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.
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|a| is the distance point a is from the origin on the numbe
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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
