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☆1 inequalities
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Assignment:Find the solution set of inequality 0.5((5-k)-sqrt((k-3)(k-3)+20) ) <3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.5 * ( ( 5 - k ) - sqrt ( ( k - 3 ) * ( k - 3 ) + 20 ) ) <3 (1)
From the definition field of √
( x - 3 ) * ( x - 3 ) + 20 ≥ 0 (2 )
From inequality(1):
k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
k ∈ 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 !