A puppy weighs 10 pounds at birth and gains more than 0.5 but less than 1 pound per week during its first 20 weeks. Which of the following inequalities represents all possible weights , in pounds, for the puppy 20 weeks after birth?
10 \lt w \lt 20
20 \lt w \lt 30
15 \lt w \lt 25
30 \lt w \lt 40