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Assignment:Find the solution set of inequality 1-3/(x-1) ≤2/(2x+3) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 - 3 / ( x - 1 ) ≤2 / ( 2 * x + 3 ) (1)
From the definition field of divisor
x - 1 ≠ 0 (2 )
From the definition field of divisor
2 * x + 3 ≠ 0 (3 )
From inequality(1):
-1.5 ≤ x ≤ -1.089454 或 1 ≤ x ≤ 4.589454
From inequality(2):
x < 1 或 x > 1
From inequality(3):
x < -3/2 或 x > -3/2
From inequalities (1) and (2)
-1.5 ≤ x ≤ -1.089454 或 1 < x ≤ 4.589454 (4)
From inequalities (3) and (4)
-3/2 < x ≤ -1.089454 或 1 < x ≤ 4.589454 (5)
The final solution set is :
-3/2 < x ≤ -1.089454 或 1 < x ≤ 4.589454 Your problem has not been solved here? Please take a look at the hot problems !