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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 0
Question type: Inequality
Solution:
The inequality can be reduced to 8 inequalities：
0 < sin x (1)
sin x < lg x (2)
lg x < cos x (3)
From the definition field of lg
x > 0 (4 )
cos x < ln x (5)
ln x < x (6)
From the definition field of ln
x > 0 (7 )
x < x ^ 2 (8)
x ^ 2 < e x (9)
e x <10 ^ x (10)
From inequality(1)：
x < -15.707963 或 -12.566371 < x < -9.424778 或 -6.283185 < x < -3.141593 或 0 < x < 3.141593 或 6.283185 < x < 9.424778 或 x ＞ 12.566371
From inequality(2)：
2.696257 < x < 7.328348 或 x ＞ 8.26383
From inequality(3)：
x < 1.418406 或 5.552112 < x < 6.863082
From inequality(4)：
x ＞ 0
From inequality(5)：
x ＞ 1.302964
From inequality(6)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(7)：
x ＞ 0
From inequality(8)：
x < 0 或 x ＞ 1
From inequality(9)：
x ＞ -0.703467
From inequality(10)：
x ＞ 0
From inequalities (1) and (2)
2.696257 < x < 3.141593 或 6.283185 < x < 7.328348 或 8.26383 < x < 9.424778 或 x ＞ 12.566371 (11)
From inequalities (3) and (11)
x ＞ 1 或 6.283185 < x < 6.863082 (12)
From inequalities (4) and (12)
x ＞ 1 (13)
From inequalities (5) and (13)
x ＞ 1.302964 (14)
From inequalities (6) and (14)
x ＞ 1.302964 (15)
From inequalities (7) and (15)
x ＞ 1.302964 (16)
From inequalities (8) and (16)
x ＞ 1.302964 (17)
From inequalities (9) and (17)
x ＞ 1.302964 (18)
From inequalities (10) and (18)
x ＞ 1.302964 (19)
The final solution set is :
x ＞ 1.302964Your problem has not been solved here? Please take a look at the hot problems ！
