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