Question

Exhibit graphically the solution set of the linear inequalities :

x+y ≤ 5 , 4x + y ≥ 4, x+5y ≥ 5, x≤ 4, y ≤ 32​

Answer 1

Given:

x+y ≤ 5 , 4x + y ≥ 4, x+5y ≥ 5, x≤ 4, y ≤ 32

To find:

Graphical solution of 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

x+y = 5

So the points are (0,5) and (5,0)

4x+y = 4

So the points are (0,4) and (1,0)

x+5y = 5

So the points are (0,1) and (5,0)

See the attached picture

Answer 2

Answer:

Given:

x+y ≤ 5 , 4x + y ≥ 4, x+5y ≥ 5, x≤ 4, y ≤ 32

To find:

Graphical solution of 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

x+y = 5

So the points are (0,5) and (5,0)

4x+y = 4

So the points are (0,4) and (1,0)

x+5y = 5

So the points are (0,1) and (5,0)

See the attached picture