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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -1 ≤sqrt(x)-(x-3)/2 ≤1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 ≤ sqrt ( x ) - ( x - 3 ) / 2 (1)
sqrt ( x ) - ( x - 3 ) / 2 ≤1 (2)
From the definition field of √
x ≥ 0 (3 )
From inequality(1):
x ≤ 11.898979
From inequality(2):
x ≥ 5.828427
From inequality(3):
x ≥ 0
From inequalities (1) and (2)
5.828427 ≤ x ≤ 11.898979 (4)
From inequalities (3) and (4)
5.828427 ≤ x ≤ 11.898979 (5)
The final solution set is :
5.828427 ≤ x ≤ 11.898979Your problem has not been solved here? Please take a look at the hot problems !