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Point A is located on a number line. If point A is between x
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01 Feb 2020, 08:57
01 Feb 2020, 08:57
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Question Stats:
72% (00:45) correct
27% (00:59) wrong based on 36 sessions
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Point A is located on a number line. If point A is between x and y, which are the values on the same number line, and if 0 < x < y, which of the following could represent the position of point A on the number line?
Indicate all possible values.
\(\square\) x + 1
\(\square\) x − 1
\(\square\) y + 1
\(\square\) y − 1
\(\square\) x + y
\(\square\) x − y
\(\square\) y − x
Kudos for the right answer and explanation
Indicate all possible values.
\(\square\) x + 1
\(\square\) x − 1
\(\square\) y + 1
\(\square\) y − 1
\(\square\) x + y
\(\square\) x − y
\(\square\) y − x
Kudos for the right answer and explanation
Re: Point A is located on a number line. If point A is between x
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03 Feb 2020, 09:52
03 Feb 2020, 09:52
1
The easiest way is to draw it out. Then you can see the relationship easily: x < a < y
A) possible, since x+1 is greater than x
B) not possible, since x<A
C) not possible, since A<Y
D) possible, since y-1 is smaller than y
E) not possible, because x+y > y
F) not possible, because x-y < x
G) possible, since y-x < y (e.g. y=5, x = 2 --> 5-2 = 3 and between x and y)
--> A, D, G are the right answers
A) possible, since x+1 is greater than x
B) not possible, since x<A
C) not possible, since A<Y
D) possible, since y-1 is smaller than y
E) not possible, because x+y > y
F) not possible, because x-y < x
G) possible, since y-x < y (e.g. y=5, x = 2 --> 5-2 = 3 and between x and y)
--> A, D, G are the right answers
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Re: Point A is located on a number line. If point A is between x
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03 Feb 2020, 10:04
03 Feb 2020, 10:04
1
Carcass wrote:
Point A is located on a number line. If point A is between x and y, which are the values on the same number line, and if 0 < x < y, which of the following could represent the position of point A on the number line?
Indicate all possible values.
\(\square\) x + 1
\(\square\) x − 1
\(\square\) y + 1
\(\square\) y − 1
\(\square\) x + y
\(\square\) x − y
\(\square\) y − x
Kudos for the right answer and explanation
Indicate all possible values.
\(\square\) x + 1
\(\square\) x − 1
\(\square\) y + 1
\(\square\) y − 1
\(\square\) x + y
\(\square\) x − y
\(\square\) y − x
Kudos for the right answer and explanation
We know that: point A is between x and y, and 0 < x < y
=> y > A > x > 0
Thus: A is positive, and is greater than x and less than y
Let us look at the options for A:
A. \(\square\) x + 1: Since A > x, we can have A = x + 1 (and still have y > A): Example: x = 1, A = 2, y = 3 ---- possible
B. \(\square\) x − 1: Since A > x, we CANNOT have A = x + 1 ---- not possible
C. \(\square\) y + 1: Since A < y, we CANNOT have A = y + 1 ---- not possible
D. \(\square\) y − 1: Since A < y, we can have A = y - 1 (and still have A > x): Example: x = 1, A = 2, y = 3 ---- possible
E. \(\square\) x + y: Since A < y, we CANNOT have A = y + x (since x is positive) ---- not possible
F. \(\square\) x − y: Since A > 0, we CANNOT have A = x - y (which is negative since x < y) ---- not possible
G. \(\square\) y − x: Since 0 < x < A < y, we can have A = y - x: Example: x = 1, A = 2, y = 3 ---- possible
Answer: A, D, G
