Math 1 · Unit 6 · Lesson 5 · part 3 of 5
Test points in both
y ≤ x + 1: 2 ≤ 5, true.
Test points in both
Test (4, 2)
y ≤ x + 1: 2 ≤ 5, true. y > −x + 3: 2 > −1, true. Both true: in the overlap, a solution.
Test (0, 0)
y ≤ x + 1: 0 ≤ 1, true. y > −x + 3: 0 > 3, false. One false: not a solution. It is in the blue region only.
Test a point on an edge
(1, 2) is on the dashed coral boundary: 2 > −1 + 3 is 2 > 2, false. Not a solution, even though 2 ≤ 2 is true for the blue. A dashed edge of the overlap is not included.