Mathematics
语言:中文
Language:English

current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality (2+4x/(x+6))x ≤(7-4x/(x+6))×6 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 + 4 * x / ( x + 6 ) ) * x ≤ ( 7 - 4 * x / ( x + 6 ) ) × 6         (1)
        From the definition field of divisor
         x + 6 ≠ 0        (2 )
        From the definition field of divisor
         x + 6 ≠ 0        (3 )

    From inequality(1):
         x ≤ 7
    From inequality(2):
         x < -6 或  x > -6
    From inequality(3):
         x < -6 或  x > -6

    From inequalities (1) and (2)
         x < -6 或  -6 < x ≤ 7     (4)
    From inequalities (3) and (4)
         x < -6 或  -6 < x ≤ 7     (5)

    The final solution set is :

         x < -6 或  -6 < x ≤ 7




Your problem has not been solved here? Please take a look at the  hot problems !


Return