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    Find the set of values of x which satisfy both of the following inequalities:

    3x-2<x+3

    x^2 + 3x > 10

    For the first inequality I got x<5/2
    For the second inequality i got -5>x and 2<x

    I then put the answer as 2<x<5/2

    but this was marked incorrectly? Can someone give me the correct answer and why please?
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    (Original post by Hellospaceboyy)
    Find the set of values of x which satisfy both of the following inequalities:

    3x-2<x+3

    x^2 + 3x > 10

    For the first inequality I got x<5/2
    For the second inequality i got -5>x and 2<x

    I then put the answer as 2<x<5/2

    but this was marked incorrectly? Can someone give me the correct answer and why please?

    That is part of the answer

    Why have you ignored x<-5
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    (Original post by TenOfThem)
    That is part of the answer

    Why have you ignored x<-5
    so would it be 2<x<-5 ??
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    (Original post by Hellospaceboyy)
    so would it be 2<x<-5 ??
    No that makes no sense

    You have the 2<x<2.5 but also you can have x<-5
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    (Original post by TenOfThem)
    No that makes no sense

    You have the 2<x<2.5 but also you can have x<-5
    Ah okay thank you! I thought it had to be a single inequality
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    The best way to do these sorts of questions is to DRAW A GRAPH. Then you can see if the inequalities will be together or apart.
 
 
 
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