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}

Attachments

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Impossible is nothing to God.