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Assignment:Find the solution set of inequality (-457*x+(1-x)*40911)/(sqrt(0.0232*x^2+7.783*x^2)) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -457 * x + ( 1 - x ) * 40911 ) / ( sqrt ( 0.0232 * x ^ 2 + 7.783 * x ^ 2 ) ) ≤0 (1)
From the definition field of √
0.0232 * x ^ 2 + 7.783 * x ^ 2 ≥ 0 (2 )
From the definition field of divisor
sqrt ( 0.0232 * x ^ 2 + 7.783 * x ^ 2 ) ≠ 0 (3 )
From inequality(1):
x ≥ 0.988953
From inequality(2):
x ≤ 0 或 0 ≤ x ≤ 0 或 x ≥ 0
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x ≥ 0.988953 (4)
From inequalities (3) and (4)
x ≥ 0.988953 (5)
The final solution set is :
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