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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -8 ≤6.46/[1.44x*x-10.56x+18.64] ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-8 ≤6.46 / ( 1.44 * x * x - 10.56 * x + 18.64 ) (1)
6.46 / ( 1.44 * x * x - 10.56 * x + 18.64 ) ≤0 (2)
From the definition field of divisor
1.44 * x * x - 10.56 * x + 18.64 ≠ 0 (3 )
From inequality(1):
x ≤ 2.95956 或 x ≥ 4.373773
From inequality(2):
2.95956 ≤ x ≤ 4.373773
From inequality(3):
x < 2.95956 或 2.95956 < x < 4.373773 或 x > 4.373773
From inequalities (1) and (2)
2.95956 ≤ x ≤ 2.95956 或 4.373773 ≤ x ≤ 4.373773 (4)
From inequalities (3) and (4)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (5)
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 !