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 > -2x - 1
y > x + 2

Answer 1

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

Explanation:

Given

`y>-2x - 1`

`y>x + 2`

Required

Solve graphically

See attachment for graph;

The black shade represents
`y>-2x - 1`

While the green, represents
`y>x + 2`

Next, determine the intersection points between the two lines

From the attached graph, we have:

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

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