Plot out (graph) the regions undefined by each of the following :

1.
[tex]y \leqslant 5,x - y \leqslant 1 \\ ,4x + 3y \geqslant 12[/tex]
2.
[tex] x \geqslant 0,y \geqslant 0 \\ ,x + y < 6,y - x < 2[/tex]

Respuesta :

Answer:

  • See the attached

Step-by-step explanation:

Q1

  • y ≤ 5
  • x - y ≤ 1 ⇒ y ≥ x - 1 (region A in the graph)
  • 4x + 3y ≥ 12 ⇒ y ≥ - 4/3x + 4 (region B in the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graphs is the undefined region.

Q2

  • x ≥ 0, y ≥ 0 - these limit the region to the first quadrant
  • x + y < 6 ⇒ y < -x + 6 (region A in the graph))
  • y - x < 2 ⇒ y < x + 2 (region B in the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the undefined region.

Ver imagen mhanifa
Ver imagen mhanifa