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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/((1-x)^2+1.44*x)^(1/2) <1.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( ( 1 - x ) ^ 2 + 1.44 * x ) ^ ( 1 / 2 ) <1.1 (1)
From the definition field of divisor
( 1 - x ) ^ 2 + 1.44 * x ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !