Asked by Jazz
                The difference of a number and 5 is at most 20                                         x -5> 20                               x -5 greater = 20  right 
            
            
        Answers
                    Answered by
            Reiny
            
    x - 5 ≤ 20
"at most" means it can't go over 20, so it has to be less than.
Your expression said > 20
Furthermore, by saying the difference between a number and 5, you don't say which way we are subtracting.
e.g. if I say what is the difference between 2 and 10 you would probably say 8, without really caring that 10-2 = 8 but 2 - 10 = -8
so the correct answer would be
|x - 5| ≤ 20
    
"at most" means it can't go over 20, so it has to be less than.
Your expression said > 20
Furthermore, by saying the difference between a number and 5, you don't say which way we are subtracting.
e.g. if I say what is the difference between 2 and 10 you would probably say 8, without really caring that 10-2 = 8 but 2 - 10 = -8
so the correct answer would be
|x - 5| ≤ 20
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