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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality C(8,k)×2^k ≥C(8,k-1)×2^(k-1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
C( 8 , k ) × 2 ^ k ≥ C( 8 , k - 1 ) × 2 ^ ( k - 1 ) (1)
From inequality(1):
k ≤ -1082.746667 或 -1082.746667 ≤ k ≤ -1082.027778 或 -1082.027778 ≤ k ≤ -1081.308889 或 -1081.308889 ≤ k ≤ -108059/100 或 -108059/100 ≤ k ≤ -242971/225 或 -242971/225 ≤ k ≤ -971237/900 或 -971237/900 ≤ k ≤ -32353/30 或 -32353/30 ≤ k ≤ -969943/900 或 -969943/900 ≤ k ≤ -1076.995556 或 -1076.995556 ≤ k ≤ -1076.276667 或 k ≥ -1076.276667
The final solution set is :
k ≤ -1082.746667 或 -1082.746667 ≤ k ≤ -1082.027778 或 -1082.027778 ≤ k ≤ -1081.308889 或 -1081.308889 ≤ k ≤ -108059/100 或 -108059/100 ≤ k ≤ -242971/225 或 -242971/225 ≤ k ≤ -971237/900 或 -971237/900 ≤ k ≤ -32353/30 或 -32353/30 ≤ k ≤ -969943/900 或 -969943/900 ≤ k ≤ -1076.995556 或 -1076.995556 ≤ k ≤ -1076.276667 或 k ≥ -1076.276667Your problem has not been solved here? Please take a look at the hot problems !