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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (940000-y)/1000000*sqrt(8*1000000^3/((940000+y)*(2000000-940000-y))) >1.96 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 940000 - y ) / 1000000 * sqrt ( 8 * 1000000 ^ 3 / ( ( 940000 + y ) * ( 2000000 - 940000 - y ) ) ) >1.96 (1)
From the definition field of divisor
( 940000 + x ) * ( 2000000 - 940000 - x ) ≠ 0 (2 )
From the definition field of √
8 * 1000000 ^ 3 / ( ( 940000 + x ) * ( 2000000 - 940000 - x ) ) ≥ 0 (3 )
From inequality(1):
y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
y ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(3):
y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (4)
From inequalities (3) and (4)
y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (5)
The final solution set is :
y ∈ 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 !