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☆1 inequalities
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Assignment:Find the solution set of inequality lgx
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
lg x < arccos x (1)
From the definition field of lg
x > 0 (2 )
From the definition field of arccos
x ≥ -1 (3 )
x ≤ 1 (4 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x > 0
From inequality(3):
x ≥ -1
From inequality(4):
x ≤ 1
From inequalities (1) and (2)
x > 0 (5)
From inequalities (3) and (5)
x > 0 (6)
From inequalities (4) and (6)
0 < x ≤ 1 (7)
The final solution set is :
0 < x ≤ 1 Your problem has not been solved here? Please take a look at the hot problems !