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Assignment:Find the solution set of inequality sqrt(3x-4)-sqrt(3-x) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 3 * x - 4 ) - sqrt ( 3 - x ) >0 (1)
From the definition field of √
3 * x - 4 ≥ 0 (2 )
From the definition field of √
3 - x ≥ 0 (3 )
From inequality(1):
x > 7/4
From inequality(2):
x ≥ 4/3
From inequality(3):
x ≤ 3
From inequalities (1) and (2)
x > 7/4 (4)
From inequalities (3) and (4)
7/4 < x ≤ 3 (5)
The final solution set is :
7/4 < x ≤ 3 Your problem has not been solved here? Please take a look at the hot problems !