Question

Graph the solution of the system of linear inequalitiesy<-5x-2y>x+1

Answer 1

Step 1:

Find the pair of two coordinates.

`\begin{gathered} y\text{ < -5x -2} \\ \text{when x = 0, } \\ y\text{ = -5}*0\text{ - 2} \\ y\text{ = 0 - 2} \\ y\text{ = -2} \\ when\text{ y = 0} \\ 0\text{ = -5x - 2} \\ 2\text{ = -5x} \\ x\text{ = }(-2)/(5)\text{ = -0.4} \end{gathered}`
`\begin{gathered} y\text{ > x + 1} \\ \text{when y = 0} \\ 0\text{ = x + 1} \\ \text{x = 0-1 = -1} \\ \\ \text{when x = 0} \\ y\text{ = 0 + 1 = 1} \end{gathered}`

Step 2: Plot the two coordinates on a graph

(0, -2) and (-0.4, 0)

(0, 1) and (-1, 0)

Step 3:

Or