Final answer:
The inequality formed from the problem statement 'When 16 is subtracted from half of the number r, the result is at most 18' is 1/2 * r - 16 ≤ 18. After solving this inequality step by step, it is found that the possible values of r must be less than or equal to 68.
Step-by-step explanation:
To solve the inequality "When 16 is subtracted from half of the number r, the result is at most 18," you begin by translating the words into an algebraic expression. This yields the inequality 1/2 * r - 16 ≤ 18. To find the possible values of r, you need to solve the inequality.
1. Add 16 to both sides of the inequality: 1/2 * r ≤ 18 + 16.
2. Simplify the right side: 1/2 * r ≤ 34.
3. Multiply both sides by 2 to isolate r: r ≤ 68.
This means that the number r must be less than or equal to 68 to satisfy the inequality.