Question

Y<-5x+6y > 2x-1 Graphing inequalities

Answer 1

Let's begin by listing out the given information

`\begin{gathered} y<-5x+6----1 \\ y>2x-1-----2 \end{gathered}`

We will assume values for x to graph these equations

`\begin{gathered} y<-5x+6 \\ x=-3 \\ y<-5(-3)+6\Rightarrow y<15+6 \\ y<21 \\ x=0 \\ y<-5(0)+6\Rightarrow y<0+6 \\ y<6 \\ x=4 \\ y<-5(4)+6\Rightarrow-20+6 \\ y<-14 \\ \\ y>2x-1 \\ x=-2 \\ y>2(2)-1\Rightarrow y>4-1 \\ y>3 \\ x=0 \\ y>2(0)-1\Rightarrow y>0-1 \\ y>-1 \\ x=3 \\ y>2(3)-1\Rightarrow y>6-1 \\ y>5 \end{gathered}`

The area that overkla