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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality abs(t-1) <0.5sqrt(9t^2-6t+23) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
abs ( t - 1 ) <0.5 * sqrt ( 9 * t ^ 2 - 6 * t + 23 ) (1)
From the definition field of √
9 * x ^ 2 - 6 * x + 23 ≥ 0 (2 )
From inequality(1):
t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !