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Assignment:Find the solution set of inequality 3x-3+sqrt(x+3) <3x+sqrt(x+3) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 * x - 3 + sqrt ( x + 3 ) <3 * x + sqrt ( x + 3 ) (1)
From the definition field of √
x + 3 ≥ 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 ≥ -3
From inequality(3):
x ≥ -3
From inequalities (1) and (2)
x ≥ -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 !