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[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt((5-2x) ) >x-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ( 5 - 2 * x ) ) > x - 1 (1)
From the definition field of √
( 5 - 2 * x ) ≥ 0 (2 )
From inequality(1):
x < 2
From inequality(2):
x ≤ 5/2
From inequalities (1) and (2)
x < 2 (3)
The final solution set is :
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