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    Find the set of values of x for which
    (a) 3(x– 2) < 8 – 2x
    (b) (2x–7)(1+x) < 0
    (c) both 3(x– 2) < 8 – 2x and (2x–7)(1+x) < 0

    I don't know how to do the last bit (c)
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    (Original post by sweetiemelx)
    Find the set of values of x for which
    (a) 3(x– 2) < 8 – 2x
    (b) (2x–7)(1+x) < 0
    (c) both 3(x– 2) < 8 – 2x and (2x–7)(1+x) < 0

    I don't know how to do the last bit (c)
    Solve each one independently first and then combine your solutions.
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    (Original post by Zacken)
    Solve each one independently first and then combine your solutions.
    Hi Zack,

    I'am having the same issue. How do you combine the solutions, I have been losing marks everythime this question comes up
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    (Original post by Zacken)
    Solve each one independently first and then combine your solutions.
    Thank you
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    Part (c) in this example should only be worth like 1 mark. All you have to do is join your two answers from part (a) and part (b) together as 1 inequality.

    For example if your answer to the first part was x < 3 and the second part was -1 < x < 5 you would join them together to make -1 < x < 3. This is because the x < 3 implies that it wont be any bigger than 3 and therefore the ending of the -1 < x < 5 inequality can be ignored. So your new inequality works for both sections. (This example has nothing to do with the values in the question by the way).
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    (Original post by Zacken)
    Solve each one independently first and then combine your solutions.
    Hi Zack,


    I'am having the same issue. How do you combine the solutions, I have been losing marks everythime this question comes up
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    (Original post by AlphaWolfZ)
    Hi Zack,

    I'am having the same issue. How do you combine the solutions, I have been losing marks everythime this question comes up
    For example, if you have

    x > 5 for the first inequality.

    and x > 2 for the second.

    Then your overall solution is (x > 5) AND (x>2).

    This simplifies to x>5. Since if something is both >5 and >2, then it's the same thing as saying it's just greater than 5.
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    (Original post by Kelly220)
    Part (c) in this example should only be worth like 1 mark. All you have to do is join your two answers from part (a) and part (b) together as 1 inequality.

    For example if your answer to the first part was x < 3 and the second part was -1 < x < 5 you would join them together to make -1 < x < 3. This is because the x < 3 implies that it wont be any bigger than 3 and therefore the ending of the -1 < x < 5 inequality can be ignored. So your new inequality works for both sections. (This example has nothing to do with the values in the question by the way).
    Sorry i took longer to write than expected so it has been answered now
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    An inequality with the common values of X so where the answers for A and B intersect
 
 
 
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