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Math Help - Basic Arithmetic, Basic Algebra, Basic Equations

  1. #1
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    Basic Arithmetic, Basic Algebra, Basic Equations

    This equation I have completely forgotten what to do! Please include the method when you solve it. -2 is less than or equal to 3x+1/4 is less than or equal to 11. Thanks heaps
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  2. #2
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    Re: Basic Arithmetic, Basic Algebra, Basic Equations

    -2 \leq \frac{3x+1}{4}\leq 11

    What did you try to do?
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  3. #3
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    Re: Basic Arithmetic, Basic Algebra, Basic Equations

    Alice

    revise a little bit the chapter of equations and inequalities...
    in this case you have to solve two inequalities

    -2less or equal(3x+1)/4 and (3x+1)/4 less thar equal to 11

    in both cases apply cross multiplication to get rid off the denominator...
    try it is is easy

    we can help you but do not expect us to solve your homework...show us your working...
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  4. #4
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    Re: Basic Arithmetic, Basic Algebra, Basic Equations

    Its not homework I'm studying for an exam and this work wasn't included in the textbook as I was overseas for 2 weeks and my teacher can't stay back to explain and during class he is busy teaching new content so I need to learn this stuff again but have no one to teach me so....
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  5. #5
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    Re: Basic Arithmetic, Basic Algebra, Basic Equations

    You still didn't say what you tried to do.

    -2 \leq \frac{3x+1}{4}\leq 11 \Leftrightarrow

    \Leftrightarrow -2\cdot 4 \leq 3x+1\leq 11\cdot 4 \Leftrightarrow -8 \leq 3x+1\leq 44

    \Leftrightarrow  -8-1 \leq 3x \leq 44-1 \Leftrightarrow -9 \leq 3x \leq 43 \Leftrightarrow -3 \leq x \leq \frac{43}{3}
    Last edited by veileen; March 6th 2013 at 10:05 PM.
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