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    The cubes in the title are abs value signs
    My working out is:
    Spoiler:
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    2x-1>-3x-2
    5x>-1
    x>-1/5


    2x-1<3x+2
    -3<x x>-3 x>-1/5
    The solution is:
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    x < −3 or x > -1/5
    Why is the x<-3 sign that way around, I thought if you divide by a negative the sign flips?
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    (Original post by TheGreatPumpkin)
    The cubes in the title are abs value signs
    Why is the x<-3 sign that way around, I thought if you divide by a negative the sign flips?
    You have to be a bit careful with modulus inequalities, just like solving quadratic inequalities is different to solving quadratic equations.

    I would definitely recommend drawing a graph. You have two simple linear graphs so it shouldn't be hard to sketch them and see what's going on.

    This video deals with a similar problem and shows you two methods you can use.
 
 
 
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