current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality arcsin(140/m) <= arctan(1/0.7) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
arcsin ( 140 / m ) <= arctan ( 1 / 0.7 ) (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of arcsin
140 / x ≥ -1 (3 )
140 / x ≤ 1 (4 )
From inequality(1):
m ≤ 140 或 m ≥ √29204
From inequality(2):
m < 0 或 m > 0
From inequality(3):
m ≤ -140 或 m ≥ 0
From inequality(4):
m ≤ 0 或 m ≥ 140
From inequalities (1) and (2)
m < 0 或 0 < m ≤ 140 或 m ≥ √29204 (5)
From inequalities (3) and (5)
m ≤ -140 或 0 < m ≤ 140 或 m ≥ √29204 (6)
From inequalities (4) and (6)
m ≤ -140 或 140 ≤ m ≤ 140 或 m ≥ √29204 (7)
The final solution set is :
m ≤ -140 或 140 ≤ m ≤ 140 或 m ≥ √29204Your problem has not been solved here? Please take a look at the hot problems !