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Assignment:Find the solution set of inequality sqrt(49*k*k+56*k) >-7*k-2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 49 * k * k + 56 * k ) > -7 * k - 2 (1)
From the definition field of √
49 * x * x + 56 * x ≥ 0 (2 )
From inequality(1):
k > -0.032571
From inequality(2):
k ≤ -8/7 或 k ≥ 0
From inequalities (1) and (2)
k ≥ 0 (3)
The final solution set is :
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