Question

Graph the following system of linear inequalities. Identify at least two points in the solution: y < 5 - 2x | x + 5y > -7

Answer 1

(1,2) and (2,-1)

Explanation:

we have

`y< 5-2x` ----> inequality A

The solution of the inequality A is the shaded area below the dashed line
`y=5-2x`

`x+5y>-7` ----> inequality B

The solution of the inequality B is the shaded area above the dashed line
`x+5y=-7`

The solution of the system of inequalities is the shaded area between the two dashed lines

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area

Two points in the solution are

(1,2) and (2,-1)

see the attached figure