Answer:
(a) & (d)
Step-by-step explanation:
Given
![x + 5 > 14](https://img.qammunity.org/2021/formulas/english/college/fl69b3zti1gvxyio6z0mqc2217ytbhq7yq.png)
Required
Which values of x makes the inequality true
First, we need to solve the inequality
![x + 5 > 14](https://img.qammunity.org/2021/formulas/english/college/fl69b3zti1gvxyio6z0mqc2217ytbhq7yq.png)
Subtract 5 from both sides
![x + 5-5>14 - 5](https://img.qammunity.org/2021/formulas/english/college/pl37dwmx3lu03oos5jp3rk8hvz53riqq2i.png)
![x >9](https://img.qammunity.org/2021/formulas/english/college/aizldyd0btuxlkhnzisp95n6epq0rmd8f5.png)
This means that for the inequality to be true, x must be greater than 9.
i.e.
![x = 10, 11, 12 ....](https://img.qammunity.org/2021/formulas/english/college/74xoq34rl9l8mrezq06hs6j0rvv3h2ckhz.png)
From the list of given options:
Option (a) is true because 21, 22 and 23 > 9
Option (b) is false because 6, 7 and 8 < 9
Option (c) is false because only 10 and 11 > 9 but 9 < 9
Option (d) is true because 18, 19 and 20 > 9