$\frac{2x}{5} > 1$ |*$\frac{5}{2}$
x > 2,5
x ∈ (2,5;+∞)

$\frac{x}{3} < 2$ |*3
x < 6
x ∈ (−∞;6)

$\frac{6x}{7} ≥ 0$ |$*\frac{7}{6}$
x ≥ 0
x ∈ [0;+∞)

$\frac{3x - 1}{4} > 2$ |*4
3x − 1 > 8
3x > 8 + 1
3x > 9
x > 3
x ∈ (3;+∞)

$2 > \frac{6 - x}{5}$ |*5
10 > 6 − x
x > 6 − 10
x > −4
x ∈ (−4;+∞)

$\frac{2 + 3x}{18} < 0$ |*18
2 + 3x < 0
3x < −2
$x < -\frac{2}{3}$
$x ∈ (-∞;-\frac{2}{3})$

$\frac{12 - 7x}{42} ≥ 0$ |*42
12 − 7x ≥ 0
−7x ≥ −12
$x ≤ 1\frac{5}{7}$
$x ∈ (-∞;1\frac{5}{7}]$

$\frac{1}{3}(x + 15) > 4$ |*3
x + 15 > 12
x > −3
x ∈ (−3;+∞)

$6 ≤ \frac{2}{7}(x + 4)$ |$*\frac{7}{2}$
21 ≤ x + 4
−x ≤ 4 − 21
−x ≤ −17
x ≥ 17
x ∈ [17;+∞)