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