Algebra-Interval Notation

I don't remember how to solve this.

The question is: For what values of a is the expression 7(x-2)5 negative? Write answer using interval notation.

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  1. I assume you meant
    7(x-2)^5 < 0
    so (x-2)^5 < 0

    we know (any negative)^5 < 0
    so x-2 < 0
    x < 2

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  2. oops sorry. it's actually
    For what values of a is the expression 7(x-2)-5 negative?

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  3. That's even easier

    7(x-2) - 5 < 0
    7x - 14 - 5 < 0
    7x < 19
    x <19/7

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  4. Ok so I did it correctly. Thank you

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