հանրահածշիվ

1)

2x — 4 > 6
x ∈ (5; +∞)

2x + 3 ≤ 1
x ∈ (−∞; −1]

7x — 7 > −7
x ∈ (0; +∞)

10x — 20 > 30
x ∈ (5; +∞)

25x — 50 ≤ 25
x ∈ (−∞; 3]

4(x — 2) > 2(x + 2)
x ∈ (6; +∞)

10(x — 4) ≥ 8(x + 2)
x ∈ (28; +∞)

2(x — 3) > 4(x + 3)
x ∈ (−∞; −9)

5(x — 2) ≤ 7(x — 3)
x ∈ [11/2; +∞)

2)

x(x — 5) > 0
x ∈ (−∞; 0) ∪ (5; +∞)

x(2x — 6) > 0
x ∈ (−∞; 0) ∪ (3; +∞)

(2x — 4)(3x + 3) > 0
x ∈ (−∞; −1) ∪ (2; +∞)

(8x + 8)(4x — 4) < 0
x ∈ (−1; 1)

x(x + 2)(x — 5) ≤ 0
x ∈ (−∞; −2] ∪ [0; 5]

(x — 5)(x — 1)(x + 2) > 0
x ∈ (−2; 1) ∪ (5; +∞)

(2x — 4)(4x + 4)(5x + 20) > 0
x ∈ (−4; −1) ∪ (2; +∞)

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3)

(x — 4)/(x + 3) > 0
x ∈ (−∞; −3) ∪ (4; +∞)

(x — 9)/(x + 2) ≥ 0
x ∈ (−∞; −2) ∪ [9; +∞)

(x — 3)/(x + 8) > 0
x ∈ (−∞; −8) ∪ (3; +∞)

(x + 3)/(x — 3) ≤ 0
x ∈ [−3; 3)