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Assignment:Find the solution set of inequality (x+1)/(4-2x) <1^-1
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities:
( x + 1 ) / ( 4 - 2 * x ) <1 ^ -1 (1)
From the definition field of divisor
4 - 2 * x ≠ 0 (2 )
1 ^ -1 < x (3)
x <2 (4)
From inequality(1):
x < 1 或 x > 2
From inequality(2):
x < 2 或 x > 2
From inequality(3):
x > 1
From inequality(4):
x < 2
From inequalities (1) and (2)
x < 1 或 x > 2 (5)
From inequalities (3) and (5)
x > 2 (6)
From inequalities (4) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!Your problem has not been solved here? Please take a look at the hot problems !