Question

Write a situation that describes the inequality: 12x – 14 < 200

Answer 1

For this case we must write a situation for the following inequality:

`12x-14 <200`

Andres needs less than $200 to go on vacation. It is known that in his work he earns $12 per hour, he must also pay a debt of $14. We want to know how many days he gets less than $200. Assuming Andres works 8 hours a day.

x: Variable that represents the number of hours Andres works

`12x-14 <200\\12x <200 + 14\\12x <214\\x <\frac {214} {12}\\x <17.83`

Thus, Andres must work less than 17.83 hours for his trip.

Therefore, it requires three work days.

Answer:

`x <17.83`