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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -3088.5599-533.2655×n+n^2/3×(277.35+15.044×n)×(832.05+30.088×n)/(554.7+30.088×n)-0.4×n^2×(179.59+5.8×n)×(538.77+11.6×n)/(359.18+11.6×n) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-3088.5599 - 533.2655 × n + n ^ 2 / 3 × ( 277.35 + 15.044 × n ) × ( 832.05 + 30.088 × n ) / ( 554.7 + 30.088 × n ) - 0.4 × n ^ 2 × ( 179.59 + 5.8 × n ) × ( 538.77 + 11.6 × n ) / ( 359.18 + 11.6 × n ) ≥0 (1)
From the definition field of divisor
554.7 + 30.088 × x ≠ 0 (2 )
From the definition field of divisor
359.18 + 11.6 × x ≠ 0 (3 )
From inequality(1):
-18.765756 ≤ n ≤ -4.978208 或 n ≥ 12.269076
From inequality(2):
n < -18.435921 或 n > -18.435921
From inequality(3):
n < -30.963793 或 n > -30.963793
From inequalities (1) and (2)
-18.765756 ≤ n < -18.435921 或 -18.435921 < n ≤ -4.978208 或 n ≥ 12.269076 (4)
From inequalities (3) and (4)
-18.765756 ≤ n < -18.435921 或 -18.435921 < n ≤ -4.978208 或 n ≥ 12.269076 (5)
The final solution set is :
-18.765756 ≤ n < -18.435921 或 -18.435921 < n ≤ -4.978208 或 n ≥ 12.269076Your problem has not been solved here? Please take a look at the hot problems !