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☆1 inequalities
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Assignment:Find the solution set of inequality (x²-1)/(2x²+1)-1/2 <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 - 1 ) / ( 2 * x ^ 2 + 1 ) - 1 / 2 <1 (1)
From the definition field of divisor
2 * x ^ 2 + 1 ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !