Let be "n" the number mentioned in the exercise.
You need to remember that:
1. In Math word problems:
- The word "times" means multiplication.
- The word "twice" indicates that something is multiplied by 2.
- "Sum" is the result of an Addition.
2. In inequalities, "Less than" is represented with the following symbol:
![<](https://img.qammunity.org/2023/formulas/mathematics/high-school/4mlu2o3p8o4dac2u3bx3ovusv5n9htmyz8.png)
Then, based on the above, you know that "3 times a number" can be expressed as:
![3n](https://img.qammunity.org/2023/formulas/mathematics/college/y485lm25y4yzb0mdgda3vz7bslaeabpf7c.png)
And "Twice the same number":
![2n](https://img.qammunity.org/2023/formulas/biology/high-school/s7u5m8pzc1rw868e99cyy51uatm4bljxmj.png)
Therefore, "The sum of 3 times a number and twice the same number is less than 45" can be represented with the following inequality:
![3n+2n<45](https://img.qammunity.org/2023/formulas/mathematics/college/j4ujeomtap0b7grn9hc2nm7r1fj2jf7d91.png)
The answer is: Option a.