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☆1 inequalities
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Assignment:Find the solution set of inequality 2a+4 >2a+2-[(-a^2+8a+8)/4] >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 * a + 4 >2 * a + 2 - ( ( -a ^ 2 + 8 * a + 8 ) / 4 ) (1)
2 * a + 2 - ( ( -a ^ 2 + 8 * a + 8 ) / 4 ) >0 (2)
From inequality(1):
-1.656854 < a < 9.656854
From inequality(2):
a < 0 或 a > 0
From inequalities (1) and (2)
-1.656854 < a < 0 或 0 < a < 9.656854 (3)
The final solution set is :
-1.656854 < a < 0 或 0 < a < 9.656854 Your problem has not been solved here? Please take a look at the hot problems !