It is known that the set a = {x | X & # 178; + 3x-18 > 0}, B = {x | X & # 178; - (2k + 1) x + K (K + 1) ≤ 0, And a ∩ B ≠ &;, then the value range of real number k is——

It is known that the set a = {x | X & # 178; + 3x-18 > 0}, B = {x | X & # 178; - (2k + 1) x + K (K + 1) ≤ 0, And a ∩ B ≠ &;, then the value range of real number k is——

A={x|x3}
B={x|k≤x≤k+1}
∵A∩B≠∅
∴k+1-6
∴k-6