Question

Solve the following system of inequalities graphically on the set of axes below. State

the coordinates of a point in the solution set.
y < -x +4
y > 3x – 8

Answer 1

`(x,y) = (3,1)`

Explanation:

Given

`y < -x + 4`

`y > 3x - 8`

Required

Solve graphically

See attachment for graph;

The blue shade represents
`y < -x + 4`

While the green, represents
`y > 3x - 8`

Next, determine the intersection points between the two lines

From the attached graph, we have:

`(x,y) = (3,1)`

Hence, the solution is:
`(3,1)`