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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 6ln(2+sinx)-3 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
6 * ln ( 2 + sin x ) - 3 >0 (1)
From the definition field of ln
2 + sin x > 0 (2 )
From inequality(1):
-12.925307 < x < -9.065841 或 -6.642122 < x < -2.782656 或 -0.358937 < x < 3.500529 或 5.924249 < x < 9.783714 或 12.207434 < x < 16.0669
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
-12.925307 < x < -9.065841 或 -6.642122 < x < -2.782656 或 -0.358937 < x < 3.500529 或 5.924249 < x < 9.783714 或 12.207434 < x < 16.0669 (3)
The final solution set is :
-12.925307 < x < -9.065841 或 -6.642122 < x < -2.782656 或 -0.358937 < x < 3.500529 或 5.924249 < x < 9.783714 或 12.207434 < x < 16.0669 *Note: Radian.Your problem has not been solved here? Please take a look at the hot problems !