Question

Graph the system of linear inequalities. Give two ordered pairs that are solutions and two that are not solutions.

Answer 1

we will graph the system of inequalities,

First let us consider the inequality

`y<-x+3\text{ }`

where we have that all the points in the red region satisfies the inequality, note that the borderline is dashed, that mean that the borderline curve is not include because the inequality is strict.

Now we will graph the second inequality

`y\geq2x+1`

note that the inequality is not strict; therefore the borderline will be included

The region that is colored twice, is the regions that satisfy both inequalities, and therefore is the region acceptable of solutions

The region that is not colored or has only one color do not satisfy both conditions

Let us pick two points that are solutions, and two pair that are not solutions