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☆1 inequalities
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Assignment:Find the solution set of inequality sqrt(9-6x+x∧2)-abs(x-6)x <3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 9 - 6 * x + x ^ 2 ) - abs ( x - 6 ) * x <3 (1)
From the definition field of √
9 - 6 * x + x ^ 2 ≥ 0 (2 )
From inequality(1):
0 < x < 6 或 x > 6
From inequality(2):
x ≤ 3 或 3 ≤ x ≤ 3 或 x ≥ 3
From inequalities (1) and (2)
0 < x ≤ 3 或 3 ≤ x ≤ 3 或 3 ≤ x < 6 或 x > 6 (3)
The final solution set is :
0 < x ≤ 3 或 3 ≤ x ≤ 3 或 3 ≤ x < 6 或 x > 6Your problem has not been solved here? Please take a look at the hot problems !