7.
(3x-1)² (2x+3)(5-x) ≥0 x(x-1)x≠0x≠1x(x-1)(3x-1)(3x-1)(2x+3)(5-x)≥0-x(x-1)*3(x-¹/₃)*3(x-¹/₃)*2(x+1.5)(x-5)≥0x(x-1)(x-¹/₃)(x-¹/₃)(x+1.5)(x-5)≤0x=0 x=1 x=¹/₃ x= -1.5 x=5 + - + + - +----- -1.5 ---------- 0 ------------ 1/3 ---------- 1 ------- 5 ------------ \\\\\\\\\ \\\\\\\\\\x=6 + + + + + + | +x=4 + + + + - + | -x=0.5 + - - + - - | +x=0.1 + - - + - - | +x=-1 - - - + - - | -x= -2 - - - - - - | +x∈{1/3} U [-1.5; 0) U (1; 5]10.
2x-11 +
19-2x < 2x 4 22x-11 +2(19-2x)-8x<02x-11+38-4x-8x<0-10x<-27x>2.7
2x+1.5 > 1/5 (x-1) +(x/3) 92x+1.5 > 9.*0.2(x-1)+3x2x+1.5 >1.8x-1.8+3x-2.8x>-3.3x<33/28x<1 ⁵/₂₈1⁵/₂₈ <x<2.7x=2 - целое число, удовлетворяющее системе.Ответ: 2.