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☆1 inequalities
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Assignment:Find the solution set of inequality √x×x-x+1 ≥x-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
√ x × x - x + 1 ≥ x - 1 (1)
From the definition field of √
x ≥ 0 (2 )
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 ≥ 0
From inequalities (1) and (2)
x ≥ 0 (3)
The final solution set is :
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