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k in (-oo:+oo)
(2/3)*k-(5/7) < 4*k-(25/7) // - 4*k-(25/7)
(2/3)*k-(4*k)-(5/7)+25/7 < 0
(2/3)*k-4*k-5/7+25/7 < 0
20/7-10/3*k < 0 // - 20/7
-10/3*k < -20/7 // : -10/3
k > -20/7/(-10/3)
k > 6/7
k in (6/7:+oo)
(6/7:+oo)
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