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Assignment:Find the solution set of inequality -(x*(-137.2237+(1-x)*24391.54))/(sqrt(0.02486512*x^2+(1-x)^2*6.524814)) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-( x * ( -137.2237 + ( 1 - x ) * 24391.54 ) ) / ( sqrt ( 0.02486512 * x ^ 2 + ( 1 - x ) ^ 2 * 6.524814 ) ) ≤0 (1)
From the definition field of √
0.02486512 * x ^ 2 + ( 1 - x ) ^ 2 * 6.524814 ≥ 0 (2 )
From the definition field of divisor
sqrt ( 0.02486512 * x ^ 2 + ( 1 - x ) ^ 2 * 6.524814 ) ≠ 0 (3 )
From inequality(1):
0 ≤ x ≤ 0.994374
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
0 ≤ x ≤ 0.994374 (4)
From inequalities (3) and (4)
0 ≤ x ≤ 0.994374 (5)
The final solution set is :
0 ≤ x ≤ 0.994374Your problem has not been solved here? Please take a look at the hot problems !