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anonymous

  • one year ago

Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality? She subtracted 6x from both sides when she should have added 2x. She added 2 to both sides when she should have subtracted 22. When dividing by −8, she did not change the ≤ to ≥. She did not make a mistake.

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  1. anonymous
    • one year ago
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    There isn't a mistake as far as I can see... Just imagine inequality signs as equal signs - they never change their position and don't really matter when you're solving the problem.

  2. marigirl
    • one year ago
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    −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 Correct −2x − 2 ≤ 6x + 22 simplified correctly −8x ≤ 24 correct x ≤ −3 * incorrect- when dividing both sides by a negative integer the sign will reverse -

  3. marigirl
    • one year ago
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    Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

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