Question

What is the set of C and D, given U = Z, C = -4s ≤ y ≤ -1, y ∈ Z, and D = y ?

Options:
A) C = {-4, -3, -2, -1} and D = {-7, -6, -5, -4, -3, -2, -1, 0}
B) C = {-4, -3, -2, -1, 0} and D = {-7, -6, -5, -4, -3, -2, -1}
C) C = {-4, -3, -2, -1} and D = {-7, -6, -5, -4, -3, -2, -1}
D) C = {-4, -3, -2, -1, 0} and D = {-7, -6, -5, -4, -3, -2, -1, 0}

Answer 1

After enumerating the integers within the defined boundaries for sets C and D, it is found that C = {-4, -3, -2, -1} and D = {-7, -6, -5, -4, -3, -2, -1, 0}.

Step-by-step explanation:

To determine the sets C and D given U = Z (the set of all integers), C = -4 ≤ y ≤ -1, y ∈ Z, and D = y , we start by enumerating the integers within each set's boundaries.

The set C includes the integers from -4 up to -1, so C = {-4, -3, -2, -1}. The set D includes the integers from -7 up to 0, so D = {-7, -6, -5, -4, -3, -2, -1, 0}. Therefore, the correct option that represents both sets C and D is:

A) C = {-4, -3, -2, -1} and D = {-7, -6, -5, -4, -3, -2, -1, 0}