Back to Graph linear inequalities — Problem 5 · Task Set 54

Exercises: Graph Linear Inequalities and Systems

For each graphing problem, state: (1) whether the boundary is solid or dashed, (2) which test point you used, and (3) which half-plane is shaded. For systems, verify a point in the feasible region satisfies all inequalities.

Grade 9·18 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-rei-d-12
Work through problems with immediate feedback
A

Fluency Practice

1.

Graph the system x0x \geq 0, y0y \geq 0, and x+y4x + y \leq 4.

(a) Describe each boundary line and what it represents.
(b) What shape does the feasible region form?
(c) List the vertices of the feasible region.