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Select the correct algebraic expression for the following number line representation:
  • a)
    |x - 3| = 1
  • b)
    |x + 4| = 3  
  • c)
    |x + 3| = 2 
  • d)
    |x| = 5  .
  • e)
    |x| = -5  
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Select the correct algebraic expression for the following number line ...
We have to find the expression |x – a| = b for which the solution set is 2 and 4.
We already know that the two points will be symmetrical about a.
So a is the mid-point of these two points.
  • a=(2+4)2
  •  
  • a=3
  •  
Now, b is simply the distance between a and either of the points.
As we can see from the given figure, (also as we already know),
Distance between 3 and 4 (or 2) is simply 1 unit.
b = 1
 Therefore the required expression is:
|x -3| = 1
The correct answer is: A
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Select the correct algebraic expression for the following number line representation:a)|x - 3| = 1b)|x + 4| = 3 c)|x + 3| = 2d)|x| = 5 .e)|x| = -5 Correct answer is option 'A'. Can you explain this answer?
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