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Total distance =35-(-15) =50
So the middle point= -15+50/2 =-15+25 =10

Range: |x-middle point|< ( distance from midpoint to endpoint)
=> |x-10|<25

Ans B


ExpertsGlobal5

On the number line, the shaded interval is represented by which of the following inequalities ?

A. |x – 10| > 25
B. |x – 10| < 25
C. |x + 5| < 10
D. |x + 5| > 10
E. |x + 10| < 25

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While I know that none of the other options make sense and the answer is B, from the number line how do we know whether the end points are inclusive or exclusive ?
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only B can represent this.

x-10 < 25
x < 35

-x+10 < 25
x-10 > -25
x > -15


ExpertsGlobal5

On the number line, the shaded interval is represented by which of the following inequalities ?

A. |x – 10| > 25
B. |x – 10| < 25
C. |x + 5| < 10
D. |x + 5| > 10
E. |x + 10| < 25

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for the point to included, they will make round circle on each point of number line to express it.

hope it helps.

suntprovident
While I know that none of the other options make sense and the answer is B, from the number line how do we know whether the end points are inclusive or exclusive ?
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Option B correctly portrays the intervals thus shown in the image.
ExpertsGlobal5

On the number line, the shaded interval is represented by which of the following inequalities ?

A. |x – 10| > 25
B. |x – 10| < 25
C. |x + 5| < 10
D. |x + 5| > 10
E. |x + 10| < 25

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ExpertsGlobal5
On the number line, the shaded interval is represented by which of the following inequalities ?

A. |x – 10| > 25
B. |x – 10| < 25
C. |x + 5| < 10
D. |x + 5| > 10
E. |x + 10| < 25
B is the correct answer choice.

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