Question

The height (h metres) and age (a years) of a tree are related by

the following inequality:
h < 4a – 3 for values of a between 1 and 10
Which pair of values satisfy this inequality?
a. h = 2 and a = 1
b. h = 6 and a = 2
c. h = 10 and a = 3
d. h = 20 and a = 6

Answer 1

h < 4a – 3
(2) < 4(1) - 3
2 < 4 - 3
2 < 1
Not True

h < 4a – 3
(6) < 4(2) - 3
6 < 8 - 3
6 < 5
Not True

h < 4a – 3
(10) < 4(3) - 3
10 < 12 - 3
10 < 9
Not True

h < 4a – 3
(20) < 4(6) - 3
20 < 24 - 3
20 < 21
True

Answer: (d) h = 20 and a = 6