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History of Inequality Computation > Answer
Overview: 3 questions will be solved this time.Among them
☆3 inequalities
[ 1/3Inequality]
Assignment:Find the solution set of inequality 4 <(1+2*T)/(2*T-2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
4 < ( 1 + 2 * T ) / ( 2 * T - 2 ) (1)
From the definition field of divisor
2 * x - 2 ≠ 0 (2 )
From inequality(1):
1 < T < 3/2
From inequality(2):
T < 1 或 T > 1
From inequalities (1) and (2)
1 < T < 3/2 (3)
The final solution set is :
1 < T < 3/2 [ 2/3Inequality]
Assignment:Find the solution set of inequality (1-t)16+(1+2*t)4-(1+t) <= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 - t ) * 16 + ( 1 + 2 * t ) * 4 - ( 1 + t ) <= 0 (1)
From inequality(1):
t ≥ 19/9
The final solution set is :
t ≥ 19/9[ 3/3Inequality]
Assignment:Find the solution set of inequality (1-t)4+(1+2*t)2-(1+t) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 - t ) * 4 + ( 1 + 2 * t ) * 2 - ( 1 + t ) >0 (1)
From inequality(1):
t < 5
The final solution set is :
t < 5Your problem has not been solved here? Please take a look at the hot problems !