Final answer:
The absolute value equation is |x - 1969| ≤ 3 to determine the range of years to score points for the year a man first stepped on the Moon. The minimum year is 1966 and the maximum year is 1972 to be within the acceptable range of no more than 3 years from the correct answer, 1969.
Step-by-step explanation:
To determine the range of years within which you would score points for being no more than 3 years away from the correct answer, 1969, for the question about when a man first stepped on the Moon, you would set up an absolute value equation. The equation would look like this: |x - 1969| ≤ 3. Here, 'x' represents the year you provide as an answer.
Breaking down the equation:
Therefore, the range of years where you would still earn points is from 1966 to 1972. If you answer with any year within that range, you will score points.