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Assignment:Find the solution set of inequality x+sqrt(x^2+16) <8 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x + sqrt ( x ^ 2 + 16 ) <8 (1)
From the definition field of √
x ^ 2 + 16 ≥ 0 (2 )
From inequality(1):
x < 3
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x < 3 (3)
The final solution set is :
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