Sources: Visual - various maths sites (credits to original creator) Questions - Dong Zong's Textbook suitable for SUEC (Maths), SPM (Maths and Add Maths) too

1. 𝒑𝒈 𝟕𝟕 − 𝟕𝟖
− 2
< 1

2. 𝒑𝒈 𝟕𝟖 − 𝟕𝟗
𝑥 > 1 𝑥 > 2

3. 𝒑𝒈 𝟕𝟗 − 𝟖𝟎
𝑥 > −5 𝑥 > 3

4. 𝒑𝒈 𝟖𝟎

5. 𝒑𝒈 𝟖𝟏

6. 𝒑𝒈 𝟖𝟏

7. 𝒑𝒈 𝟖𝟏

8. 𝒑𝒈 𝟖𝟐

9. 𝒑𝒈 𝟖𝟐

10. 𝒑𝒈 𝟖𝟑

11. 𝒑𝒈 𝟖𝟑
(𝑥 + 2)(𝑥 − 3) ≤ 0 − −①
(3𝑥 + 2)(𝑥 − 3) ≥ (𝑥 − 3)2− −②
𝐹𝑟𝑜𝑚 ①, −2 ≤ 𝑥 ≤ 3
−2
𝐹𝑟𝑜𝑚 ②, (3𝑥 + 2)(𝑥 − 3) ≥ (𝑥 − 3)2
3𝑥2
− 9𝑥 + 2𝑥 − 6 ≥ 𝑥2
− 6𝑥 + 9
2𝑥2
− 𝑥 − 15 ≥ 0
(2𝑥 + 5)(𝑥 − 3) ≥ 0
3
𝑥 ≤ −
5
2
𝑜𝑟 𝑥 ≥ 3
−2
−2.5 3
𝑛𝑜 𝑖𝑛𝑡𝑒𝑟𝑠𝑒𝑐𝑡𝑖𝑜𝑛 (∩)

12. 𝒑𝒈 𝟖𝟑

13. 𝒑𝒈 𝟖𝟒

14. 𝒑𝒈 𝟖𝟔

15. 𝒑𝒈 𝟖𝟔
1
𝑥 − 1 ≥ 0
𝑥 ≥ 1
(2𝑥 + 7)3
≥ 0
2𝑥 + 7 ≥ 0
𝑥 ≥ −
7
2
−
7
2
𝑥 ≥ 1
𝑥 ≥ −
7
2
𝑡𝑎𝑘𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒 𝑠𝑒𝑔𝑚𝑒𝑛𝑡𝑠

16. 𝒑𝒈 𝟖𝟓

17. 𝒑𝒈 𝟖𝟓 − 𝟖𝟔

18. 𝒑𝒈 𝟖𝟔