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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt(x-27)-2x+3 <0 > 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
sqrt ( x - 27 ) - 2 * x + 3 <0 (1)
From the definition field of √
x - 27 ≥ 0 (2 )
0 > 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 ≥ 27
From inequality(3):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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