The sum of 3 times a number and 4 is no more than 10 and no less than -8.

Equation  -8 ≤ 3n+4 ≤ 10

Solution -4 ≤ n ≤ 2

Step-by-step explanation:

sum of 3 times a number and 4

3n+4

is no more than 10  

3n+4 ≤ 10

and no less than -8

-8 ≤ 3n+4 ≤ 10

To solve

Subtract 4 from all sides

-8-4 ≤ 3n+4-4 ≤ 10-4

-12 ≤ 3n ≤ 6

Divide all sides by 3

-12/3 ≤ 3n/3 ≤ 6/3

-4 ≤ n ≤ 2

picture below