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Assignment:Find the solution set of inequality -(-22910824*x+(1-x)*184153065)/(sqrt(57147221*x^2+(1-x)^2*188321688)) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-( -22910824 * x + ( 1 - x ) * 184153065 ) / ( sqrt ( 57147221 * x ^ 2 + ( 1 - x ) ^ 2 * 188321688 ) ) ≤0 (1)
From the definition field of √
57147221 * x ^ 2 + ( 1 - x ) ^ 2 * 188321688 ≥ 0 (2 )
From the definition field of divisor
sqrt ( 57147221 * x ^ 2 + ( 1 - x ) ^ 2 * 188321688 ) ≠ 0 (3 )
From inequality(1):
x ≤ 0.889354
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)
x ≤ 0.889354 (4)
From inequalities (3) and (4)
x ≤ 0.889354 (5)
The final solution set is :
x ≤ 0.889354Your problem has not been solved here? Please take a look at the hot problems !