Linear Equations and Absolute Value

1. You can add the same number to (or subtract the same number from) both sides of an inequality.
2. You can multiply (or divide) both sides of an inequality by the same positive number.
3. You can multiply (or divide) both sides of an inequality by the same negative number if you reverse the inequality sign.

**You flip the sign of the inequality when you multiply or divide by a negative number.

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Ex.1: Absolute value of 3x-9 is greater than or equal to 9
3x-9 is greater than or equal to 9 3x-9 is less than or equal to -9
3x greater or equal 18 3x less or equal 0
x greater or equal 6 x less or equal 0

Ex.2:Solve the equation or inequality.
8x+6>30
subtract 6 from both sides
8x>24
divide both sides by 8
x>3