1) \(2x + 3 < x + 1\)
\[2x - x < 1 - 3\]
\[x < -2\]
2) \(x - 5 > 3 - x\)
\[x + x > 3 + 5\]
\[2x > 8\]
\[x > 4\]
3) \(2 - x \le 3x - 10\)
\[-x - 3x \le -10 - 2\]
\[-4x \le -12\]
\[x \ge 3\]
4) \(7x - 1 > x + 5\)
\[7x - x > 5 + 1\]
\[6x > 6\]
\[x > 1\]
5) \(5x + 2 > 3x + 10\)
\[5x - 3x > 10 - 2\]
\[2x > 8\]
\[x > 4\]
6) \(7x - 4 \le x + 14\)
\[7x - x \le 14 + 4\]
\[6x \le 18\]
\[x \le 3\]
Ответ: 1) \(x < -2\); 2) \(x > 4\); 3) \(x \ge 3\); 4) \(x > 1\); 5) \(x > 4\); 6) \(x \le 3\)