Mathematics
语言:中文
Language:English

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 ≥ √29204




Your problem has not been solved here? Please take a look at the  hot problems !


Return