Final answer:
The correct inequality for the dew point range of 69.7 to 66.8 is 66.8 ≤ D(x) ≤ 69.7. This requires that the dew point is both greater than or equal to 66.8 and less than or equal to 69.7.
Step-by-step explanation:
The question relates to solving an inequality for a given function representing the dew point. The dew point is represented by the equation D(x) = 90 - 58x. To address the question, we need to write an inequality that represents the dew point within the ranges of 69.7 to 66.8.
Since the range specifies a lower boundary (66.8) and an upper boundary (69.7), the inequality we are going to write should reflect that the value of D(x) is greater than or equal to the lower boundary and less than or equal to the upper boundary. The correct inequality would be:
66.8 ≤ D(x) ≤ 69.7
This means the solution to the inequality must satisfy both conditions:
- D(x) is greater than or equal to 66.8 (Option 3: D(x) > 66.8)
- D(x) is less than or equal to 69.7 (Option 2: D(x) ≤ 69.7)
Therefore, the solution to the inequality will include all values of x for which D(x) falls between 66.8 and 69.7, inclusive of these two values.