1)
2x — 4 > 6. 2x>6+4. 2x>10. x>5. xe(5;+∞)
2x + 3 ≤ 1. 2x≤1-3. 2x≤-2. x≤-1 xe(-∞;-1]
7x — 7 > — 7. 7x>-7+7. 7x>0. x>0. xe(0;+∞)
10x — 20 > 30. 10x>50. x>5. xe(5;+∞)
25x — 50 ≤ 25. 25x≤75. x≤3. xe(-∞;3]
4(x — 2) > 2(x + 2) 2(x-2)>x+2 2x-4>x+2. 2x-x>2+4. x>6. xe(6;+∞)
10(x — 4) ≥ 8(x + 2) 10x-40≥8x+16 10x-8x≥16+40. 2x≥54. x≥27. xe[27;+∞)
2(x — 3) > 4(x + 3). 2x-6>4x+12. 2x-4x>12+6. -2x>18. x>-9. xe(-9;+∞)
5(x — 2) ≤ 7(x — 3). 5x-10≤7x-21. 5x-7x≤-21+10. -2x≤-11. x≤5.5. xe(-∞;5.5]

2)
x(x — 5) > 0. x=0. x-5=0. x=5. xe(-∞;0)U(5;+∞)
x(2x — 6) > 0. x=0. 2x-6=0. 2x=6 x=3. xe(-∞;0)U(3;+∞)
(2x — 4)(3x + 3) > 0 2x-4=0. 2x=4 x=2. 3x+3=0. 3x=-3. x=-1. xe(-∞;-1)U(2;+∞)
(8x + 8)(4x — 4) < 0 8x+8=0. 8x=-8. x=-1. 4x-4=0. 4x=4. x=1. xe(-1;1)
(x — 5)(x — 1)(x + 2) > 0. x-5=0. x=5. x-1=0. x=1. x+2=0. x=-2. xe(5;+∞)U(-2;1)
(2x — 4)(4x + 4)(5x + 20) > 0 2x-4=0. 2x=4. x=2. 4x+4=0 4x=-4. x=-1. 5x+20=0. 5x=-20. x=-4 xe(2;+∞)U(-4;-1)

3).
(x — 4)/(x + 3) > 0 x=4 x=-3. xe(-∞;-3)U(4;+∞)
(x — 9)/(x + 2) ≥ 0. x=9. x=-2 xe(-∞;-2]U[9;+∞)
(x — 3)/(x + 8) > 0. x=3. x=-8. xe(-∞;-8)U(3;+∞)
(x + 3)/(x — 3) ≤ 0. x=-3. x=3. xe[-3;3)