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10 May, 09:24

1.) 2x > - 6 and x - 4 < 3

2.) x + 5 > 2x + 1 and - 4x < - 8

3.) - 3x < - 6 or x + 5 < - 2

4.) x - 2 > 2x + 1 or - 2x - 2 < - 10

5.) - 4 < 2x - 8 < 6

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Answers (1)
  1. 10 May, 11:35
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    Solution for 1:

    2x > - 6 and x - 4 < 3

    Simplifying gives x > - 3 and x < 7

    Combining the two equations gives;

    -3 < x < 7

    Solution for 2:

    x + 5 > 2x + 1 and - 4x < - 8

    Simplifying the two equations gives;

    5 > x and x < 2

    Combining them together gives;

    x < 2 and 5

    Solution for 3:

    -3x < - 6 or x + 5 < - 2

    Simplifying the two equations gives;

    x < 2 or x < 7

    Combining the two equations gives;

    x < 2 or 7

    Solution for 4:

    x - 2 > 2x + 1

    or

    -2x - 2 < 10

    Simplifying the two equations gives;

    -3 > x or x < - 6

    Combining the equations gives;

    x < - 3 or - 6

    Solution for 5:

    -4 < 2x - 8 < 6

    Simplifying gives;

    -4 < 2x < 14

    Dividing by 2 throughout gives;

    -2 < x < 7
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