Math 1 · Unit 5 · Lesson 2 · part 4 of 6
Special cases: vertical and horizontal boundaries
Two boundaries have no m and b to read, because they are not functions of x.
Special cases: vertical and horizontal boundaries
Two boundaries have no m and b to read, because they are not functions of x. Handle them by sight.
x > 3: a vertical line, region to the right
The boundary is x = 3, straight up and down (no slope, from Unit 3). Strict: dashed. x bigger than 3 means the points to the right of the line. Test (0, 0): 0 > 3 is false, so shade away from it: right.
y ≤ −2: a horizontal line, region below
The boundary is y = −2, flat (slope 0). Or-equal: solid. y less than or equal to −2: below. Test (0, 0): 0 ≤ −2 is false, so shade away from it: below.