current location：Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality C(8,x+1)*2^(x+1) >= C(8,x)*2^x >= C(8,x-1)*2^(x-1) .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities：
C( 8 , x + 1 ) * 2 ^ ( x + 1 ) >= C( 8 , x ) * 2 ^ x (1)
C( 8 , x ) * 2 ^ x >= C( 8 , x - 1 ) * 2 ^ ( x - 1 ) (2)
From inequality(1)：
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 -1076.995556 ≤ x ≤ -1074.838889 或 x ≥ -1074.838889
From inequality(2)：
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 -1076.995556 ≤ x ≤ -1076.276667 或 x ≥ -1076.276667
From inequalities (1) and (2)
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 -1076.995556 ≤ x ≤ -1076.276667 或 -1076.276667 ≤ x ≤ -1074.838889 或 x ≥ -1074.838889 (3)
The final solution set is :
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 -1076.995556 ≤ x ≤ -1076.276667 或 -1076.276667 ≤ x ≤ -1074.838889 或 x ≥ -1074.838889Your problem has not been solved here? Please take a look at the hot problems ！
