Last year, an orange tree produced 36 oranges. This year, it produced fewer than 10. What are the possible values for how many fewer oranges were produced from the tree this year

d : [ 0, 26 ]

Step-by-step explanation:

Given:-

- The oranges produced last year, x = 36

- The oranges produced this year, y < 10

Find:-

What are the possible values for how many fewer oranges were produced from the tree this year

Solution:-

- The possible values for how many fewer oranges were produced this year relative to last can be determined by solving an inequality that signifies a difference (d) between last year and this year production as follows:

d = x - y

d = 36 - (<10)

- To remove the inequality from Right hand side we we can shift it to left hand side by inverting the inequality sig, since last production is exactly known we have:

d≥36 - 10

d≥ 26

- So the number of oranges produced are at least 26 less than last year and lower bound would be if there is no orange produced this year. Hence, the range is:

d : [ 0, 26 ]