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?

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Answer:

Properties of Inequality

  • Addition Property of Inequality

[tex]x - 3 = 9\\x-3 +3 = 9 + 3\\x= 9 + 3[/tex]

  • Subtraction Property of Inequality

[tex]x+3<9\\x+3-3<9-3\\x<9-3[/tex]

  • Multiplication Property of Inequality

[tex]\frac{1}{2}x<4\\\frac{2}{1} * \frac{1}{2}x < 4 * \frac{2}{1}\\x < 8[/tex]

  • Division Property of Inequality

[tex]2x < 4\\\frac{2x}{2} < \frac{4}{2}\\x < 2[/tex]

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

Step-by-step explanation:

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