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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality log(1/3,4x^2-3x+1) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 1 / 3 , 4 * x ^ 2 - 3 * x + 1 ) >= 0 (1)
From the definition field of log
1 / 3 > 0 (2 )
4 * x ^ 2 - 3 * x + 1 > 0 also ≠ 1 (3 )
From inequality(1):
0 ≤ x ≤ 3/4
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x < 0 或 0 < x < 3/4 或 x > 3/4
From inequalities (1) and (2)
0 ≤ x ≤ 3/4 (4)
From inequalities (3) and (4)
0 < x < 3/4 (5)
The final solution set is :
0 < x < 3/4 Your problem has not been solved here? Please take a look at the hot problems !