three times a number increased by one is between negative five and thirteen

Answer 1

This sentence must be translated into a math equation then solved. "Three times a number increased by one" means "3n+1". "Between 5 and 13" means "5< <13". Putting these two phrases together one has 5< 3n+1< 13. Now treat all three parts the same to solve the algebra.

5 < 3n+1 < 13

-1 -1 -1

4< 3n < 12

divide by 3

4/3 < n < 4