Step-by-step explanation:
![3x + 3 > 48](https://img.qammunity.org/2022/formulas/mathematics/high-school/8eqvrrormf2r5hc20db1c045oac3hph7gz.png)
- Solving the Inequality is similar to solving the equation. We simply make x-term as the subject since we are solving for x.
![3x > 48 - 3 \\ 3x > 45 \\ x > (45)/(3) \Longrightarrow x > \frac{ \cancel{45}}{ \cancel{3}} \Longrightarrow x > (15)/(1) \\ x > 15](https://img.qammunity.org/2022/formulas/mathematics/high-school/dmam5esprswz25hpkkuj32tidetdiui83i.png)
Because x must be greater than 15. We will substitute x = 16 in the Inequality.
![3(16) + 3 > 48 \\ 48 + 3 > 48 \\ 51 > 48 \: \: \checkmark](https://img.qammunity.org/2022/formulas/mathematics/high-school/w7ldrdpykg0nhsjjoeqla4tpvogxta4vrx.png)
The Inequality is true when x > 15.
Answer
![\large \boxed{x > 15}](https://img.qammunity.org/2022/formulas/mathematics/high-school/ta2r4y9a4tni6huhd20w0mctpwabiv323b.png)