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☆1 inequalities
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Assignment:Find the solution set of inequality -1.4 ≤(1.7*3.8)/[1.7*1.7-(1.2x-1.5)*(6.3-1.2x)] ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1.4 ≤ ( 1.7 * 3.8 ) / ( 1.7 * 1.7 - ( 1.2 * x - 1.5 ) * ( 6.3 - 1.2 * x ) ) (1)
( 1.7 * 3.8 ) / ( 1.7 * 1.7 - ( 1.2 * x - 1.5 ) * ( 6.3 - 1.2 * x ) ) ≤0 (2)
From the definition field of divisor
1.7 * 1.7 - ( 1.2 * x - 1.5 ) * ( 6.3 - 1.2 * x ) ≠ 0 (3 )
From inequality(1):
x ≤ 1.838244 或 x ≥ 4.661756
From inequality(2):
1.838244 ≤ x ≤ 4.661756
From inequality(3):
x < 1.838244 或 1.838244 < x < 4.661756 或 x > 4.661756
From inequalities (1) and (2)
1.838244 ≤ x ≤ 1.838244 或 4.661756 ≤ x ≤ 4.661756 (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 !