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Assignment:Find the solution set of inequality (2^(2*a)+2^(2*a-2)+2)/(2^(4*a-2)+2^(2*a-2)+2^(2*a)+1) >-2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 ^ ( 2 * a ) + 2 ^ ( 2 * a - 2 ) + 2 ) / ( 2 ^ ( 4 * a - 2 ) + 2 ^ ( 2 * a - 2 ) + 2 ^ ( 2 * a ) + 1 ) > -2 (1)
From the definition field of divisor
2 ^ ( 4 * x - 2 ) + 2 ^ ( 2 * x - 2 ) + 2 ^ ( 2 * x ) + 1 ≠ 0 (2 )
From inequality(1):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
a ∈ 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)
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
a ∈ 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 !