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 (4x^2-x-3)/(2x^2-x-3) <= 1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 4 * x ^ 2 - x - 3 ) / ( 2 * x ^ 2 - x - 3 ) <= 1         (1)
        From the definition field of divisor
         2 * x ^ 2 - x - 3 ≠ 0        (2 )

    From inequality(1):
         -1 ≤ x ≤ 0 或  0 ≤ x ≤ 0 或  0 ≤ x ≤ 1.5
    From inequality(2):
         x < -1 或  -1 < x < 3/2 或  x > 3/2

    From inequalities (1) and (2)
         -1 < x ≤ 0 或  0 ≤ x ≤ 0 或  0 ≤ x < 3/2    (3)

    The final solution set is :

         -1 < x ≤ 0 或  0 ≤ x ≤ 0 或  0 ≤ x < 3/2




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


Return