Respuesta :

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:

[tex]<[/tex]

Then, based on the above, you know that "3 times a number" can be expressed as:

[tex]3n[/tex]

And "Twice the same number":

[tex]2n[/tex]

Therefore, "The sum of 3 times a number and twice the same number is less than 45" can be represented with the following inequality:

[tex]3n+2n<45[/tex]

The answer is: Option a.

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