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Question

If x is the coordinate of the indicated point on the number line above, which of the lettered points has coordinate 2x?

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A
A
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B
B
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C
C
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D
D
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E
E
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Solution

The correct option is D B
From the given real line,
x > 1 and x < 0
To find the coordinate 2x,
x > 1 and x < 0
Multiplying 2 to all, we get
2x > (1 × 2) and 2x < 0
2x > 2 and 2x < 0
The coordinate 2x lies strictly between (2) and 0.
In the real line, only such point is B.

Therefore, the coordinate 2x is B.

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