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