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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0.5*((5-k)-sqrt((k-3)*(k-3)+20)) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.5 * ( ( 5 - k ) - sqrt ( ( k - 3 ) * ( k - 3 ) + 20 ) ) >0 (1)
From the definition field of √
( x - 3 ) * ( x - 3 ) + 20 ≥ 0 (2 )
From inequality(1):
k < -1
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 < -1 (3)
The final solution set is :
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