Describe the set of all values indicated by the set {a:-4 < a is greater than or equal to 1}.
Beth has $417 available to buy trees for her yard. She will buy the trees from Tim’s Trees & Landscaping, where they cost $37 each. Letting t represent the number of trees she buys, how many trees can Beth buy? Write your answer in set-builder notation.
Student Solution: The answer is {x: 0 < x is greater than or equal to 16}
Point out at least two details that make the student solution incorrect, and explain why those details make the student solution incorrect.
Please HELP!!
The student solution is incorrect for two reasons:
1. The solution is using the variable "x" instead of "t" to represent the number of trees Beth can buy. The problem clearly states that "t" represents the number of trees, so using a different variable introduces confusion and inconsistency. Therefore, the correct notation should be {t: 0 < t ≤ 11} instead of {x: 0 < x ≥ 16}.
2. The student incorrectly calculates the number of trees Beth can purchase. The problem states that Beth has $417 available and each tree costs $37. Hence, the maximum number of trees Beth can buy can be found by dividing her total money by the cost of each tree: $417 ÷ $37 = 11. Therefore, the correct answer should be {t: 0 < t ≤ 11} instead of {x: 0 < x ≥ 16}.
To summarize, the student's solution is incorrect due to incorrect variable usage and inaccurate calculation. The correct solution should be {t: 0 < t ≤ 11}.