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☆1 inequalities
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Assignment:Find the solution set of inequality sqrt(2-x)-sqrt(x+1) >1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 2 - x ) - sqrt ( x + 1 ) >1 (1)
From the definition field of √
2 - x ≥ 0 (2 )
From the definition field of √
x + 1 ≥ 0 (3 )
From inequality(1):
x < -0.618034
From inequality(2):
x ≤ 2
From inequality(3):
x ≥ -1
From inequalities (1) and (2)
x < -0.618034 (4)
From inequalities (3) and (4)
-1 ≤ x < -0.618034 (5)
The final solution set is :
-1 ≤ x < -0.618034Your problem has not been solved here? Please take a look at the hot problems !