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Assignment:Find the solution set of inequality sqrt(x^2-1) >sqrt(2x^2+4x) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( x ^ 2 - 1 ) > sqrt ( 2 * x ^ 2 + 4 * x ) (1)
From the definition field of √
x ^ 2 - 1 ≥ 0 (2 )
From the definition field of √
2 * x ^ 2 + 4 * x ≥ 0 (3 )
From inequality(1):
x > -3.732051
From inequality(2):
x ≤ -1 或 x ≥ 1
From inequality(3):
x ≤ -2 或 x ≥ 0
From inequalities (1) and (2)
-3.732051 < x ≤ -1 或 x ≥ 1 (4)
From inequalities (3) and (4)
-3.732051 < x ≤ -2 或 x ≥ 1 (5)
The final solution set is :
-3.732051 < x ≤ -2 或 x ≥ 1Your problem has not been solved here? Please take a look at the hot problems !