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30 November, 11:09

10. When you add the same number to both sides of an inequality, is the inequality still true? Explain how you know your statement holds for subtracting the same number?

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  1. 30 November, 12:42
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    The inequality is still true! If you add a number, say 5 to both sides of the following inequality, does anything change?

    3 < 6

    3 + 5 < 6 + 5

    8 < 11

    The inequality is still true. We know the statement holds for subtracting the same number because, in a way, addition and subtraction are pretty much the same operation. If I subtract 5 from both sides, I can think of it like "I add negative 5 to both sides" or something along those lines. It's kind of backwards thinking.
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