Draw the feasible region, including its boundary.

01 / Standard#Your turn

3x+2y\ge13,\quad x\le5,\quad2x-2y+3\ge0

Official paper · jm01-2023 · II.5(a) · PDF 4

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Find the pairwise intersections of the boundary lines.

Hint 2

Check which side of each line satisfies the inequality.

Worked solution

Solve for the three vertices.
$A=(2,7/2),\quad B=(5,13/2),\quad C=(5,-1)$
The region is the closed triangle above y=(13−3x)/2, below y=x+3/2 and left of x=5.

The closed triangle with vertices (2,7/2), (5,13/2), (5,−1).

Checks and common pitfalls: All three inequalities are non-strict, so all edges belong.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Solve for the three vertices.
$A=(2,7/2),\quad B=(5,13/2),\quad C=(5,-1)$
The region is the closed triangle above y=(13−3x)/2, below y=x+3/2 and left of x=5.

Think first. Reveal a hint when the class is ready.

2023 JM01