Algebra, Please Help!

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Devin attempted to solve the inequality -2x+6>10 following the steps below:

•subtract 6 from both sides of the inequality.
•divide both sides of the inequality by -2.

He finds that x>-2. Clearly explain why this is not a correct solution. In your response, be sure to explain what Devin needs to do to find the correct solution.

  • Algebra, Please Help! -

    2 x + 6 - 6 > 10 - 6

    2x > 4 Divide both sides by - 2

    Whenever you multiply or divide an inequality by a negative number, you must change the direction of the inequality.

    In tis case :

    ( 2 x / - 2 ) < ( 4 / - 2 )

    - x < - 2 Multiply both sides by - 1

    You again must change the direction of the inequality:

    x > 2

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