a)(x+4)(x-1)≤0x=-4 x=1 + - +-------- -4 ----------- 1 ------------- \\\\\\\\\\\\\\\x∈[-4; 1]Ответ: [-4; 1]b)ОДЗ: x-2≠0 x≠2[(x+6)/(x-2)] -4>0[x+6-4(x-2)] / [x-2] >0[x+6-4x+8] / [x-2] >0[-3x+14] / [x-2]>0(-3x+14)(x-2)>0-3(x-¹⁴/₃)(x-2)>0(x-4 ²/₃)(x-2)<0x=4 ²/₃ x=2 + - +--------- 2 ------------ 4 ²/₃ ------------ \\\\\\\\\\\\\x∈(2; 4 ²/₃)Ответ(2; 4 ²/₃).