Thank you for sharing the image! I'll extract the inequalities and solve them for you step by step. Here are the inequalities from the image:

1. $x^2 - 9 \geq 0$
2. $x^2 - 25 \leq 0$
3. $2x^2 - 8 > 0$
4. $4x^2 - 36 < 0$
5. $-8x^2 \leq 0$
6. $-13x^2 \geq 0$
7. $(x + 2)^2 > 9$
8. $(x - 1)^2 < 4$
9. $(x - 5)^2 > 36$
10. $(x - 4)^2 \leq 36$
11. $x^2 - 8x + 16 \geq 0$
12. $x^2 - 10x + 25 \leq 0$
13. $6x^2 + 5x - 1 \leq 0$
14. $5x^2 - 9x - 2 \leq 0$
15. $2x^2 + 3x - 2 > 0$

Which one would you like me to solve first? Alternatively, I can solve all of them one by one with detailed explanations. Let me know your preference!