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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1.96*0.4*sqrt(1/(x-1))+1/(2*x) <= 0.01 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1.96 * 0.4 * sqrt ( 1 / ( x - 1 ) ) + 1 / ( 2 * x ) <= 0.01 (1)
From the definition field of divisor
x - 1 ≠ 0 (2 )
From the definition field of √
1 / ( x - 1 ) ≥ 0 (3 )
From the definition field of divisor
2 * x ≠ 0 (4 )
From inequality(1):
x ≤ 1
From inequality(2):
x < 1 或 x > 1
From inequality(3):
x ≥ 1
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 1 (5)
From inequalities (3) and (5)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (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 !