the-two-boundary-lines-intersect-the-pair-of-boundary-lines-treated-as-equations

Question

Consider the system: y ≤ -x + 4 and y \u003e (1/2)x - 1. Find the coordinates of the corner point where the two boundary lines intersect (the pair of boundary lines treated as equations).

Accepted Answer

(10/3, 2/3)

Answer

(2, 2) — which would be the intersection if both slopes were negative reciprocals.

Answer

(5/3, -1/3) — because averaging slopes changes intercepts accordingly in intersection calculations.

Answer

No finite intersection because one inequality is weak (≤) and the other is strict (\u003e), which prevents coordinate determination.

Consider the system: y ≤ -x + 4 and y > (1/2)x - 1. Find the coordinates of the corner point where the two boundary lines intersect (the pair of boundary lines treated as equations).