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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 !