Answer: Option D.
Explanation:
We have the inequality:
Id - 3.5I ≤ 1.5
remember that : IxI < d means that:
-d < x < d
Now let's find the possible values of d, breaking the absolute value we have that:
-1.5 ≤ d - 3.5 ≤ 1.5
adding 3.5 in each part, we have:
-1.5 + 3.5 ≤ d - 3.5 + 3.5 ≤ 1.5 + 3.5
2 ≤ d ≤ 5
Then d can be any value in the set [2, 5]
Then the correct graph is D, because the purple line starts at 2, and ends at 5.