Inequation

Solve the inequation:

5k - (7k - 1)≤ 2/5 . (5-k)-2

Result

k≥:  0.625

Solution:

5k−(7k−1)≤2/5.(5−k)−2 5k−7k+1≤2−2/5⋅k−2 −2k+1≤−2/5k 5≤8k 5/8≤k 0.625≤k5k - (7k - 1)≤ 2/5 . (5-k)-2 \ \\ 5k - 7k + 1 ≤ 2-2/5 \cdot k-2 \ \\ -2k +1 ≤ -2/5 k \ \\ 5 ≤ 8 k \ \\ 5/8 ≤ k \ \\ 0.625 ≤ k

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