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Assignment:Find the solution set of inequality sqrt(3x-4)-sqrt(x-3) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 3 * x - 4 ) - sqrt ( x - 3 ) >0 (1)
From the definition field of √
3 * x - 4 ≥ 0 (2 )
From the definition field of √
x - 3 ≥ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x ≥ 4/3
From inequality(3):
x ≥ 3
From inequalities (1) and (2)
x ≥ 4/3 (4)
From inequalities (3) and (4)
x ≥ 3 (5)
The final solution set is :
x ≥ 3Your problem has not been solved here? Please take a look at the hot problems !