$\begin{equation*} \begin{cases} 5(x - 2) - x > 2 &\\ 1 - 3(x - 1) < -2 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 5x - 10 - x > 2 &\\ 1 - 3x + 3 < -2 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 5x - x > 2 + 10 &\\ -3x < -2 - 1 - 3 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 4x > 12 &\\ -3x < -6 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} x > 3 &\\ x > 2 & \end{cases} \end{equation*}$
x > 3
x ∈ (3;+∞)

$\begin{equation*} \begin{cases} 2y - (y - 4) < 6 &\\ y > 3(2y - 1) + 18 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 2y - y + 4 < 6 &\\ y > 6y - 3 + 18 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 2y - y < 6 - 4 &\\ y - 6y > -3 + 18 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} y < 2 &\\ -5y > 15 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} y < 2 &\\ y < -3 & \end{cases} \end{equation*}$
y < −3
y ∈ (−∞;−3)

$\begin{equation*} \begin{cases} 7x + 3 ≥ 5(x - 4) + 1 &\\ 4x + 1 ≤ 43 - 3(7 + x) & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 7x + 3 ≥ 5x - 20 + 1 &\\ 4x + 1 ≤ 43 - 21 - 3x & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 7x - 5x ≥ -20 + 1 - 3 &\\ 4x + 3x ≤ 43 - 21 - 1 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 2x ≥ -22 &\\ 7x ≤ 21 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} x ≥ -11 &\\ x ≤ 3 & \end{cases} \end{equation*}$
−11 ≤ x ≤ 3
x ∈ [−11;3]

$\begin{equation*} \begin{cases} 3(2 - 3p) - 2(3 - 2p) > p &\\ 6 < p^2 - p(p - 8) & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} 6 - 9p - 6 + 4p > p &\\ 6 < p^2 - p^2 + 8p & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} -9p + 4p - p > -6 + 6 &\\ 8p > 6 & \end{cases} \end{equation*}$
$\begin{equation*} \begin{cases} p < 0 &\\ p > 0,75 & \end{cases} \end{equation*}$
p ∈ ∅
нет решений