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[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt((237960*18*1.22÷(-0.5*x^4+55.5*x^3-532x^2+36088*x))^2+(661*7÷50.4÷x)^2) <160 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ( 237960 * 18 * 1.22 ÷ ( -0.5 * x ^ 4 + 55.5 * x ^ 3 - 532 * x ^ 2 + 36088 * x ) ) ^ 2 + ( 661 * 7 ÷ 50.4 ÷ x ) ^ 2 ) <160 (1)
From the definition field of √
( 237960 * 18 * 1.22 ÷ ( -0.5 * x ^ 4 + 55.5 * x ^ 3 - 532 * x ^ 2 + 36088 * x ) ) ^ 2 + ( 661 * 7 ÷ 50.4 ÷ x ) ^ 2 ≥ 0 (2 )
From inequality(1):
x < -1.058576 或 1.082587 < x < 107.299932 或 x > 107.403021
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x < -1.058576 或 1.082587 < x < 107.299932 或 x > 107.403021 (3)
The final solution set is :
x < -1.058576 或 1.082587 < x < 107.299932 或 x > 107.403021Your problem has not been solved here? Please take a look at the hot problems !