If a is greater than or equal to 6, less than or equal to 10, B is greater than or equal to a / 2, less than or equal to 2a, C = a + B, calculate the value range of C Help!

If a is greater than or equal to 6, less than or equal to 10, B is greater than or equal to a / 2, less than or equal to 2a, C = a + B, calculate the value range of C Help!

Because 6 ≤ a ≤ 10 (1)
a/2≤b≤2a
Then get
3≤b≤20 (2)
And because
C=a+b
Add (1) and (2) to get
6+3≤a+b≤10+20
have to
9≤C≤30