Question

Which one of the following is not contained in the equivalence class (−2,1)?

A) (0, 3)
B) (-2, 1)
C) (-5, -2)
D) (-1, 2)

Answer 1

The equivalence class (-2,1) does not contain the range (-5,-2).

Step-by-step explanation:

The equivalence class (-2,1) contains all the numbers between -2 and 1, including -2 and 1 themselves. To determine which of the answer choices is not contained in this equivalence class, we need to check if each range overlaps with (-2,1).

Option A, (0,3), overlaps with (-2,1) because it contains the number 1.

Option B, (-2,1), is the equivalence class itself, so it is contained in (-2,1).

Option C, (-5,-2), does not overlap with (-2,1) because it is entirely outside the range (-2,1).

Option D, (-1,2), overlaps with (-2,1) because it contains the number 1.

Therefore, the answer is C) (-5,-2), since it is the only option that is not contained in the equivalence class (-2,1).