How to Solve Parentheses Inequalities

An inequality is an equation where the equal sign has been replaced with a less-than sign, or "<", or a greater than sign, or ">." When a parentheses exist in an inequality, you should follow the order of operations as with an equation. The standard order of operation is parentheses, exponents, multiplication and division, and addition and subtraction.

Instructions

  1. Solve the equation 4(2x-3)+ 7 >12+4x

    • 1

      Multiply the function inside the parentheses by 4 to clear the parentheses:

      4(2x-3)+ 7 >12+4x

      8x - 12 + 7 > 12 + 4x

    • 2

      Simplify the equation and combine all like terms:

      8x - 5 > 12 + 4x

      Subtract both sides by 4x to combine the two x values:

      8x - 5 - 4x > 12 + 4x - 4x

      4x - 5 > 12

      Add 5 to both sides to combine the two constants:

      4x - 5 + 5 > 12 + 5

      4x > 17

    • 3

      Divide both sides by 4 to get x on one side by itself:

      4x > 17

      4x/4 > 17/4

      x > 17/4

      x > 4.25

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