petrified17 wrote:
If x is a number between -5 and 15, which of following equations represents the range of x?
A) |x| - 5 < 10
B) |x| + 5 < 10
C) |x - 5| < 10
D) |x + 5| < 10
E) |x + 5| < 0
We know: -5 < x < 15
To find the range expressed in an absolute value inequality (or equation) you can use a fairly easy method. If needed, sketch a number line.
1) Find the midpoint,* which is5 , exactly halfway between -5 and 15.
2) Think about "distance from" to set up the expression,
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