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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (278n+7.3n^2)*(278n+22n^2)/(556+22n)+627*(1.8+n)-1365-334n-1.2[(93n+1.2n^2)*(93n+3.7n^2)/(186+3.7n)+11*(14+n)+34*(11+n)+146*(5+n)+866*(2.7+n) ) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 278 * n + 7.3 * n ^ 2 ) * ( 278 * n + 22 * n ^ 2 ) / ( 556 + 22 * n ) + 627 * ( 1.8 + n ) - 1365 - 334 * n - 1.2 * ( ( 93 * n + 1.2 * n ^ 2 ) * ( 93 * n + 3.7 * n ^ 2 ) / ( 186 + 3.7 * n ) + 11 * ( 14 + n ) + 34 * ( 11 + n ) + 146 * ( 5 + n ) + 866 * ( 2.7 + n ) ) >= 0 (1)
From the definition field of divisor
556 + 22 * x ≠ 0 (2 )
From the definition field of divisor
186 + 3.7 * x ≠ 0 (3 )
From inequality(1):
-50.27027 ≤ n ≤ -25.272727 或 -13.818463 ≤ n ≤ -3.848564 或 n ≥ 9.666479
From inequality(2):
n < -278/11 或 n > -278/11
From inequality(3):
n < -1860/37 或 n > -1860/37
From inequalities (1) and (2)
-50.27027 ≤ n < -278/11 或 -13.818463 ≤ n ≤ -3.848564 或 n ≥ 9.666479 (4)
From inequalities (3) and (4)
-1860/37 < n < -278/11 或 -13.818463 ≤ n ≤ -3.848564 或 n ≥ 9.666479 (5)
The final solution set is :
-1860/37 < n < -278/11 或 -13.818463 ≤ n ≤ -3.848564 或 n ≥ 9.666479Your problem has not been solved here? Please take a look at the hot problems !