Решите систему неравенств (№ 711-766): 711. { 2x - 1 > 0, 15-3x > 0. 712. { 6-3x > 0, 5x-3 > 0. 713. { 8 + 3x > 2, 1- 2x > 0. 714. { 4x + 2 < 0, 7- 2x > 10. 715. { 5x + 4 < 0, 3x + 1,5 > 0. 716. { 3-2x < 0, 6x-2 > 0. 717. { 2-6x < 14, 5x-21 < 1. 718. { 8-x > 9, 4+ 6x < 1. 719. { 2+x < 0, 2x + 1 <0. 720. { 3x + 12 < 0, 2x - 1 <0. 721. { x-1<7x + 2, 11x + 13 > x + 3. 722. { 3-x<x+2, 3x-1>1-2x. 723. { 14 + 4x > 0, 3 + 2x < 0. 724. { 5x-7<0, 2-x<1. 725. { x-1≤2x + 2, 3x + 5 ≤ x + 1, 726. { 3x - 2≥ x + 1, 4-2x≤ x-2.

Решение системы неравенств

711.

\[\begin{cases} 2x - 1 > 0 \\ 15 - 3x > 0 \end{cases}\]

\[\begin{cases} 2x > 1 \\ -3x > -15 \end{cases}\]

\[\begin{cases} x > \frac{1}{2} \\ x < 5 \end{cases}\]

\[x \in (\frac{1}{2}; 5)\]

712.

\[\begin{cases} 6 - 3x > 0 \\ 5x - 3 > 0 \end{cases}\]

\[\begin{cases} -3x > -6 \\ 5x > 3 \end{cases}\]

\[\begin{cases} x < 2 \\ x > \frac{3}{5} \end{cases}\]

\[x \in (\frac{3}{5}; 2)\]

713.

\[\begin{cases} 8 + 3x > 2 \\ 1 - 2x > 0 \end{cases}\]

\[\begin{cases} 3x > -6 \\ -2x > -1 \end{cases}\]

\[\begin{cases} x > -2 \\ x < \frac{1}{2} \end{cases}\]

\[x \in (-2; \frac{1}{2})\]

714.

\[\begin{cases} 4x + 2 < 0 \\ 7 - 2x > 10 \end{cases}\]

\[\begin{cases} 4x < -2 \\ -2x > 3 \end{cases}\]

\[\begin{cases} x < -\frac{1}{2} \\ x < -\frac{3}{2} \end{cases}\]

\[x \in (-\infty; -\frac{3}{2})\]

715.

\[\begin{cases} 5x + 4 < 0 \\ 3x + 1.5 > 0 \end{cases}\]

\[\begin{cases} 5x < -4 \\ 3x > -1.5 \end{cases}\]

\[\begin{cases} x < -\frac{4}{5} \\ x > -\frac{1}{2} \end{cases}\]

\[x \in (- \frac{1}{2}; -\frac{4}{5})\]

716.

\[\begin{cases} 3 - 2x < 0 \\ 6x - 2 > 0 \end{cases}\]

\[\begin{cases} -2x < -3 \\ 6x > 2 \end{cases}\]

\[\begin{cases} x > \frac{3}{2} \\ x > \frac{1}{3} \end{cases}\]

\[x \in (\frac{3}{2}; +\infty)\]

717.

\[\begin{cases} 2 - 6x < 14 \\ 5x - 21 < 1 \end{cases}\]

\[\begin{cases} -6x < 12 \\ 5x < 22 \end{cases}\]

\[\begin{cases} x > -2 \\ x < \frac{22}{5} \end{cases}\]

\[x \in (-2; \frac{22}{5})\]

718.

\[\begin{cases} 8 - x > 9 \\ 4 + 6x < 1 \end{cases}\]

\[\begin{cases} -x > 1 \\ 6x < -3 \end{cases}\]

\[\begin{cases} x < -1 \\ x < -\frac{1}{2} \end{cases}\]

\[x \in (-\infty; -1)\]

719.

\[\begin{cases} 2 + x < 0 \\ 2x + 1 < 0 \end{cases}\]

\[\begin{cases} x < -2 \\ 2x < -1 \end{cases}\]

\[\begin{cases} x < -2 \\ x < -\frac{1}{2} \end{cases}\]

\[x \in (-\infty; -2)\]

720.

\[\begin{cases} 3x + 12 < 0 \\ 2x - 1 < 0 \end{cases}\]

\[\begin{cases} 3x < -12 \\ 2x < 1 \end{cases}\]

\[\begin{cases} x < -4 \\ x < \frac{1}{2} \end{cases}\]

\[x \in (-\infty; -4)\]

721.

\[\begin{cases} x - 1 < 7x + 2 \\ 11x + 13 > x + 3 \end{cases}\]

\[\begin{cases} -6x < 3 \\ 10x > -10 \end{cases}\]

\[\begin{cases} x > -\frac{1}{2} \\ x > -1 \end{cases}\]

\[x \in (- \frac{1}{2}; +\infty)\]

722.

\[\begin{cases} 3 - x < x + 2 \\ 3x - 1 > 1 - 2x \end{cases}\]

\[\begin{cases} -2x < -1 \\ 5x > 2 \end{cases}\]

\[\begin{cases} x > \frac{1}{2} \\ x > \frac{2}{5} \end{cases}\]

\[x \in (\frac{1}{2}; +\infty)\]

723.

\[\begin{cases} 14 + 4x > 0 \\ 3 + 2x < 0 \end{cases}\]

\[\begin{cases} 4x > -14 \\ 2x < -3 \end{cases}\]

\[\begin{cases} x > -\frac{7}{2} \\ x < -\frac{3}{2} \end{cases}\]

\[x \in (- \frac{7}{2}; -\frac{3}{2})\]

724.

\[\begin{cases} 5x - 7 < 0 \\ 2 - x < 1 \end{cases}\]

\[\begin{cases} 5x < 7 \\ -x < -1 \end{cases}\]

\[\begin{cases} x < \frac{7}{5} \\ x > 1 \end{cases}\]

\[x \in (1; \frac{7}{5})\]

725.

\[\begin{cases} x - 1 \le 2x + 2 \\ 3x + 5 \le x + 1 \end{cases}\]

\[\begin{cases} -x \le 3 \\ 2x \le -4 \end{cases}\]

\[\begin{cases} x \ge -3 \\ x \le -2 \end{cases}\]

\[x \in [-3; -2]\]

726.

\[\begin{cases} 3x - 2 \ge x + 1 \\ 4 - 2x \le x - 2 \end{cases}\]

\[\begin{cases} 2x \ge 3 \\ -3x \le -6 \end{cases}\]

\[\begin{cases} x \ge \frac{3}{2} \\ x \ge 2 \end{cases}\]

\[x \in [2; +\infty)\]