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Assignment:Find the solution set of inequality arcsinx/10 ≤1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
arcsin x / 10 ≤1 (1)
From the definition field of arcsin
x ≥ -1 (2 )
x ≤ 1 (3 )
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 ≥ -1
From inequality(3):
x ≤ 1
From inequalities (1) and (2)
x ≥ -1 (4)
From inequalities (3) and (4)
-1 ≤ x ≤ 1 (5)
The final solution set is :
-1 ≤ x ≤ 1Your problem has not been solved here? Please take a look at the hot problems !