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Math Help - Use set builder notation to describe a complete solution

  1. #1
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    Use set builder notation to describe a complete solution

    I need help please using set builder notation to describe a complete solution for this:

    47-(2x+5) less than or equal to 3(x+2) +x

    {x|x ?}
    I appreciate help working through this!
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  2. #2
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    Solve the inequality to give you a simple expression for x.
    The just write {x | 'expression' }
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  3. #3
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    x \ge 6

    A little algebra will get you to this.
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  4. #4
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    I need help please using set builder notation to describe a complete solution for this:

    47-(2x+5) less than or equal to 3(x+2) +x
    I would say,

    \{x\in\mathbb{R}\mid 47-(2x+5) \le 3(x+2) +x\}
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  5. #5
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    Quote Originally Posted by emakarov View Post
    I would say,

    \{x\in\mathbb{R}\mid 47-(2x+5) \le 3(x+2) +x\}
    Minus one point for not simplifying your answer :P
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