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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality arcsin(2x-1) ≤2/π .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
arcsin ( 2 * x - 1 ) ≤2 / π (1)
From the definition field of arcsin
2 * x - 1 ≥ -1 (2 )
2 * x - 1 ≤ 1 (3 )
From inequality(1):
x ≤ 0.79724
From inequality(2):
x ≥ 0
From inequality(3):
x ≤ 1
From inequalities (1) and (2)
0 ≤ x ≤ 0.79724 (4)
From inequalities (3) and (4)
0 ≤ x ≤ 0.79724 (5)
The final solution set is :
0 ≤ x ≤ 0.79724Your problem has not been solved here? Please take a look at the hot problems !