y > -(1/2) x + 5 and y ≤ 3x - 2
(5,3):
3 >? -(1/2)(5) + 5 = 5-5/2 = 5/2; that's true
3 ≤ 3(5) - 2 = 13; that's true
(4,3)
3 >? -(1/2)4 +5 = 5 - 2 = 3; that's false
Answer: 2) (4,3)
Let's check the rest.
(3,4)
4 >? -(1/2)(3) + 5 = 5 - 3/2 = 7/2, true
4 ≤ 3(3) - 2 = 7, true
(4,4)
4 >? -(1/2)(4) + 5 = 5 - 2= 3, true
4 ≤ 3(4) - 2 = 10, true
Answer seems right.
