Question

Solve the system of inequations ​

Answer 1

Answer:

answer is given you can see it

Answer 2

Answer:

$1) \: \frac{x + 3}{x - 2} \leqslant 2 \\ \frac{x + 3}{x - 2} \times (x - 2) \leqslant 2 \times (x - 2) \\ x + 3 \leqslant 2x - 4 \\ x + 3 + 4 \leqslant 2x - 4 + 4 \\ x + 7 \leqslant 2x \\ x - 2x + 7 \leqslant 2x - 2x \\ - x + 7 \leqslant 0 \\ - x + 7 - 7 \leqslant 0- 7 \\ - x \leqslant - 7 \\ \boxed{x \geqslant 7} \\ \\ 2) \: \frac{2x + 5}{x + 7} \geqslant 3 \\ \frac{2x + 5}{x + 7} \times (x + 7)\geqslant 3 \times (x + 7) \\ 2x + 5 \geqslant 3x + 21 \\ 2x + 5 - 5 \geqslant 3x + 21 - 5 \\ 2x \geqslant 3x + 16 \\ 2x - 3x \geqslant 3x - 3x + 16 \\ - x \geqslant 16 \\ \boxed{ x \leqslant - 16} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \blue{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$