Question

The graph of the inequalities x ≥ 0, y ≥ 0, 2x + y – 5 ≤ 0 and 2x + 5y ≤ 10 form 1) A triangle 2) A quadrilateral 3) Exterior of a triangle 4) Null Set

Answer 1

Answer:

3. exterior of a triangle

Answer 2

Given:

x ≥ 0, y ≥ 0, 2x + y – 5 ≤ 0 and 2x + 5y ≤ 10

To find:

The shape by the inequalities

Solution:

To get the figure of the inequalities first get the points of the particular equations to draw it on the plane

for this consider this as an equation

2x + y – 5 = 0

point will be (0,5) and (2.5,0)

2x + 5y = 10

point will be (0,2) and (5,0)

For the solution see the figure attached to it

We get a quadrilateral here