2. Решите неравенство: 1)a) 17+ x > 37; в) 6,2 + x ≥ 10; 2)a) 1 + 6x < 7; в) 3 – 2x ≤ 8; 3) a) 4 + x < 1 - 2x; в) 4x + 7 < 6x + 1; 4) a) 4(1 + x) > x − 2; 6(2x - 1) - (2 + x) < 0;

1) a) \(17 + x > 37\)

\[x > 37 - 17\] \[x > 20\]

в) \(6,2 + x \ge 10\)

\[x \ge 10 - 6,2\] \[x \ge 3,8\]

2) a) \(1 + 6x < 7\)

\[6x < 7 - 1\] \[6x < 6\] \[x < 1\]

в) \(3 - 2x \le 8\)

\[-2x \le 8 - 3\] \[-2x \le 5\] \[x \ge -2,5\]

3) a) \(4 + x < 1 - 2x\)

\[x + 2x < 1 - 4\] \[3x < -3\] \[x < -1\]

в) \(4x + 7 \le 6x + 1\)

\[4x - 6x \le 1 - 7\] \[-2x \le -6\] \[x \ge 3\]

4) a) \(4(1 + x) > x - 2\)

\[4 + 4x > x - 2\] \[4x - x > -2 - 4\] \[3x > -6\] \[x > -2\]

б) \(6(2x - 1) - (2 + x) < 0\)

\[12x - 6 - 2 - x < 0\] \[11x < 8\] \[x < \frac{8}{11}\]