There is a pattern to figuring out absolute value inequalities.
(See image)
The expression in the absolute value sign helps you figure out the center.
For example: |x-3| < 5
This means 3 is at the center of the range.
Mark x = 3+5 = 8
Mark x = 3-5 = -2
The < sign tells us that x is within x={-2,8} range but not inclusive.
Another example: |x+3|>5
This means -3 is at the center of the range.
Mark x = -3+5 = 2
Mark x = -3-5 = -8
The > sign tells us that x is not within but outside range x={2,-8}
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