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Assignment:Find the solution set of inequality -sqrt(x+1) <2x+1
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-sqrt ( x + 1 ) <2 * x + 1 (1)
From the definition field of √
x + 1 ≥ 0 (2 )
2 * x + 1 < sqrt ( x + 1 ) (3)
From the definition field of √
x + 1 ≥ 0 (4 )
From inequality(1):
x > -3/4
From inequality(2):
x ≥ -1
From inequality(3):
x < 0
From inequality(4):
x ≥ -1
From inequalities (1) and (2)
x > -3/4 (5)
From inequalities (3) and (5)
-3/4 < x < 0 (6)
From inequalities (4) and (6)
-3/4 < x < 0 (7)
The final solution set is :
-3/4 < x < 0 Your problem has not been solved here? Please take a look at the hot problems !