SOLUTION: Find the solutions of the following inequalities 1. x/2 - x/3 < 5 2. 1/2 (x+1) - 2/3 (x-2) < 1/6 3. x/3 - x/2 < 5

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Question 1092460: Find the solutions of the following inequalities
1. x/2 - x/3 < 5

2. 1/2 (x+1) - 2/3 (x-2) < 1/6
3. x/3 - x/2 < 5
Answer by ikleyn(52905)   (Show Source): You can put this solution on YOUR website!
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Find the solutions of the following inequalities
1. x/2 - x/3 < 5

2. 1/2 (x+1) - 2/3 (x-2) < 1/6
3. x/3 - x/2 < 5
~~~~~~~~~~~~~~~~ 

1.  x/2 - x/3 < 5      ====>  Multiply both sides by 6. You will get

    3x - 2x < 30        ====>  x < 30.

    It is your solution and your answer.



2.  x/3 - x/2 < 5      ====>  Multiply both sides by 6. You will get

    2x - 3x < 30        ====>  -x < 30.   Multiply both sides by -1 and DO NOT FORGET  
                                  to change the inequality sigh to the opposite one.  You will get

    x > -30.   

    It is your solution and your answer.


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