The set of possible values of m is (5, 7, 9). what is the set of possible values of k if 2k = m + 3?

Plug in each possible value into the equation.

when m = 5

2k = m + 3

2k = (5) + 3

Simplify

2k = 8

isolate the k, divide 2 from both sides

2k/2 = 8/2

k = 8/2

k = 4

When m = 5, k = 4

2k = m + 3

when m = 7

2k = (7) + 3

2k = 10

2k/2 = 10/2

k = 10/2

k = 5

when m = 7, k = 5

2k = m + 3

When m = 9

2k = (9) + 3

2k = 12

2k/2 = 12/2

k = 12/2

k = 6

when m = 9, k = 6

hope this helps