Nancy eats 2,000 calories a day. she burns 500 during her workouts and 1,000 participating in her normal daily activities. how many more calories does she have to burn to lose weight? a. more than 500 b. less than 500 c. at least 100 d. less than 100

a, b, c - sides of a triangle

a + b > c

a + c > b

b + c > a

we have a = 5m and b = 11m. substitute:

5 + 11 > c

16 > c → c < 16

5 + c > 11         subtract 5 from both sides

c > 6

11 + c > 5         subtract 11 from both sides

c > -6

c < 16 and c > 6 and c > -6

thereofre your answer is 6m < c < 16m