Question

when you have an inequality with a variable on both sides what would you use to put all variables on one side and all constants on the other?

Answer 1

Properties of Inequality

• Addition Property of Inequality

`x - 3 = 9\\x-3 +3 = 9 + 3\\x= 9 + 3`

• Subtraction Property of Inequality

`x+3<9\\x+3-3<9-3\\x<9-3`

• Multiplication Property of Inequality

`(1)/(2)x<4\\(2)/(1) * (1)/(2)x < 4 * (2)/(1)\\x < 8`

• Division Property of Inequality

`2x < 4\\(2x)/(2) < (4)/(2)\\x < 2`

Note: When you multiply or divide with a negative number. Flip the sign.

Explanation:

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