解:A = {x|x2-x-6<0} = {x|-2 < x < 3}, B = {x|x2 + 2x-8≥0} = {x≤-4或x≥2},∴ CRB={x|-4< x <2}, A∩CRB = {x|-2 < x < 2}, 又∵,a≠0∴当a > 0时,C = {x |a < x < 3a}, 当a < 0时,C = {x |3a < x < a}, ∵C=(A∩CRB ),∴或∴或。
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