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Assignment:Find the solution set of inequality sqrt(2x^2-6x+4)
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 2 * x ^ 2 - 6 * x + 4 ) < x + 2 (1)
From the definition field of √
2 * x ^ 2 - 6 * x + 4 ≥ 0 (2 )
From inequality(1):
0 < x < 10
From inequality(2):
x ≤ 1 或 x ≥ 2
From inequalities (1) and (2)
0 < x ≤ 1 或 2 ≤ x < 10 (3)
The final solution set is :
0 < x ≤ 1 或 2 ≤ x < 10Your problem has not been solved here? Please take a look at the hot problems !