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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (x+1)/(2^(x+1)) <0.01 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x + 1 ) / ( 2 ^ ( x + 1 ) ) <0.01 (1)
From the definition field of divisor
2 ^ ( x + 1 ) ≠ 0 (2 )
From inequality(1):
-40.863137 < x < -0.98993 或 x > √561971483/√7000000
From inequality(2):
x < -1083.465556 或 -1083.465556 < x < -1082.746667 或 -1082.746667 < x < -1082.027778 或 -1082.027778 < x < -1081.308889 或 -1081.308889 < x < -108059/100 或 -108059/100 < x < -242971/225 或 -242971/225 < x < -971237/900 或 -971237/900 < x < -32353/30 或 -32353/30 < x < -969943/900 或 -969943/900 < x < -1076.995556 或 x > -1076.995556
From inequalities (1) and (2)
或 x < -1083.465556 或 -1083.465556 < x < -1082.746667 或 -1082.746667 < x < -1082.027778 或 -1082.027778 < x < -1081.308889 或 -1081.308889 < x < -108059/100 或 -108059/100 < x < -242971/225 或 -242971/225 < x < -971237/900 或 或 -40.863137 < x < -0.98993 或 x > √561971483/√7000000 (3)
The final solution set is :
或 x < -1083.465556 或 -1083.465556 < x < -1082.746667 或 -1082.746667 < x < -1082.027778 或 -1082.027778 < x < -1081.308889 或 -1081.308889 < x < -108059/100 或 -108059/100 < x < -242971/225 或 -242971/225 < x < -971237/900 或 或 -40.863137 < x < -0.98993 或 x > √561971483/√7000000Your problem has not been solved here? Please take a look at the hot problems !