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Math Help - Inequality

  1. #1
    Lil
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    Question Inequality

    \left (\frac{\pi-3 }{2}  \right )^{x^2-x}+\frac{6\pi}{4}-\frac{\pi^{2}+9}{4}> 0

    What I could do
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  2. #2
    A Plied Mathematician
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    I would throw everything over to the RHS that doesn't have an x in it. What does that give you?
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  3. #3
    Lil
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    Quote Originally Posted by Ackbeet View Post
    I would throw everything over to the RHS that doesn't have an x in it. What does that give you?
    'RHS' - what does it mean?
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  4. #4
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    Quote Originally Posted by Lil View Post
    \left (\frac{\pi-3 }{2}  \right )^{x^2-x}+\frac{6\pi}{4}-\frac{\pi^{2}+9}{4}> 0

    What I could do
    \left (\dfrac{\pi-3 }{2}  \right )^{x^2-x}>-\dfrac{6\pi}{4}+\dfrac{\pi^{2}+9}{4}

    \left (\dfrac{\pi-3 }{2}  \right )^{x^2-x}>\left(\dfrac{\pi-3}2\right)^2

    Can you take it from here?

    @Ackbeet: Thanks for spotting the typo.
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  5. #5
    A Plied Mathematician
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    RHS means "Right Hand Side". Similarly, LHS means "Left Hand Side".
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  6. #6
    Lil
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    Quote Originally Posted by earboth View Post
    \left (\dfrac{\pi-3 }{2}  \right )^{x^2-x}>\dfrac{6\pi}{4}-\dfrac{\pi^{2}+9}{4}

    \left (\dfrac{\pi-3 }{2}  \right )^{x^2-x}>\left(\dfrac{\pi-3}2\right)^2

    Can you take it from here?
    Yes, I can.
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  7. #7
    A Plied Mathematician
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    \displaystyle\left (\dfrac{\pi-3 }{2} \right )^{x^2-x}>\dfrac{6\pi}{4}-\dfrac{\pi^{2}+9}{4}
    Probably meant

    \displaystyle\left (\dfrac{\pi-3 }{2} \right )^{x^2-x}>\dfrac{\pi^{2}+9}{4}-\dfrac{6\pi}{4}
    Corrected in the next line, though.
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  8. #8
    Lil
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    Quote Originally Posted by Ackbeet View Post
    Probably meant



    Corrected in the next line, though.
    Yes, I notice it.
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