solve the rational inequality. express the solution using interval notation.

14/(x+4) ≥ 2 in order to solve this inequality, you have to solve system of three inequalities:

1. **x ≠ -4** (we cannot divide by "0")

2. **x + 4 > 0** (because 14 > 0, if you will divide by negative number result will be negative and will not satisfy given inequality) ----->
**x > -4**

3. 14/(x+4) ≥ 2 -----> 14 ≥ 2(x+4)

14/2 2(x+4)/2 7 ≥ (x+4)

----> x+4 ≤ 7 ---->** x ≤ 3**

The answer is any number from an half of segment **(-4 , 3]**