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On a number line, the coordinates of points P and R are p and r, respectively, and p < r. If the point with coordinate x is closer to p than to r, then which of the following statements must be true?
  • a)
  • b)
  • c)
    |x - p| < r
  • d)
    |x + p| < r - p
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
On a number line, the coordinates of points P and R are p and r, respe...
Draw a number line, and to show that p < r, place p to the left of r on the number line. The points that are closer to p than to r are all the points to the left of their midpoint. The midpoint is the average of the endpoints: so 
if the point with coordinate x is closer to p than to r, then 
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Most Upvoted Answer
On a number line, the coordinates of points P and R are p and r, respe...
Draw a number line, and to show that p < r, place p to the left of r on the number line. The points that are closer to p than to r are all the points to the left of their midpoint. The midpoint is the average of the endpoints: so 
if the point with coordinate x is closer to p than to r, then 
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On a number line, the coordinates of points P and R are p and r, respectively, and p < r. If the point with coordinate x is closer to p than to r, then which of the following statements must be true?a)b)c)|x - p| < rd)|x + p| < r - pCorrect answer is option 'B'. Can you explain this answer?
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