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[ 1/1Inequality]
Assignment:Find the solution set of inequality (218n+13n^2)*(218n+18n^2)/(437+37.5n)+910+520n+308+44n+249(1.3+n)-1.2[(182n+3n^2)*(91n+5n^2)/(364+9n)+718*(2+n)+220*(7+n)+55*(10+n)+17*(14+n) ) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 218 * n + 13 * n ^ 2 ) * ( 218 * n + 18 * n ^ 2 ) / ( 437 + 37.5 * n ) + 910 + 520 * n + 308 + 44 * n + 249 * ( 1.3 + n ) - 1.2 * ( ( 182 * n + 3 * n ^ 2 ) * ( 91 * n + 5 * n ^ 2 ) / ( 364 + 9 * n ) + 718 * ( 2 + n ) + 220 * ( 7 + n ) + 55 * ( 10 + n ) + 17 * ( 14 + n ) ) >= 0 (1)
From the definition field of divisor
437 + 37.5 * x ≠ 0 (2 )
From the definition field of divisor
364 + 9 * x ≠ 0 (3 )
From inequality(1):
-40.444444 ≤ n ≤ -30.297787 或 -20.293421 ≤ n ≤ -12.280831 或 -11.653333 ≤ n ≤ -5.078736 或 n ≥ 8.623731
From inequality(2):
n < -874/75 或 n > -874/75
From inequality(3):
n < -364/9 或 n > -364/9
From inequalities (1) and (2)
-40.444444 ≤ n ≤ -30.297787 或 -20.293421 ≤ n ≤ -12.280831 或 -874/75 < n ≤ -5.078736 或 n ≥ 8.623731 (4)
From inequalities (3) and (4)
-364/9 < n ≤ -30.297787 或 -20.293421 ≤ n ≤ -12.280831 或 -874/75 < n ≤ -5.078736 或 n ≥ 8.623731 (5)
The final solution set is :
-364/9 < n ≤ -30.297787 或 -20.293421 ≤ n ≤ -12.280831 或 -874/75 < n ≤ -5.078736 或 n ≥ 8.623731Your problem has not been solved here? Please take a look at the hot problems !