Answer:
{(-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1)}
Step-by-step explanation:
Consider an element in the set we want to achieve. This element can be written as the ordered pair (x, y), where x comes from the set {-2, -1, 0, 1, 2} and given some value of x, we can find y (with the formula y = 2 * x - 3).
So to begin finding the set of all pairs in the resulting set, we first begin by listing out all values of x in each pair:
(-2, y)
(-1, y)
(0, y)
(1, y)
(2, y)
Now to find y, we use the formula y = 2 * x - 3, and we get
(-2, 2 * (-2) - 3)
(-1, 2 * (-1) - 3)
(0, 2 * (0) - 3)
(1, 2 * (1) - 3)
(2, 2 * (2) - 3)
which simplifies to
(-2, -7)
(-1, -5)
(0, -3)
(1, -1)
(2, 1)
