Step 1: on a piece of graph paper, create a coordinate grid. label the y-axis from 0 to 10 and label the x-axis from 0 to 10.

step 2: graph the following systems of linear inequalities. after shading, you can erase any lines that are not an edge of the overlapped area.
shade with a color of your choice.
enlarged left brace begin layout first row x greater than or equal to 1 second row x less than or equal to 7 third row y greater than or equal to 0 fourth row y less than or equal to 5 fifth row y greater than or equal to negative x plus 3 sixth row y greater than or equal to x minus 5 end layout

shade with a different color of your choice.
enlarged left brace begin layout first row x greater than or equal to 0 second row x less than or equal to 8 third row y greater than or equal to 5 fourth row y less than or equal to 6 end layout

shade with another different color of your choice.
enlarged left brace begin layout first row x greater than or equal to 2 second row x less than or equal to 6 third row y greater than or equal to 6 fourth row y less than or equal to 8 end layout
step 3: graph the following points in black.
left parenthesis 3 comma 4 right parenthesis
left parenthesis 5 comma 4 right parenthesis
left parenthesis 4 comma 2.5 right parenthesis
left parenthesis 3 comma 2 right parenthesis
left parenthesis 3.5 comma 1.3 right parenthesis
left parenthesis 4 comma 1 right parenthesis
left parenthesis 4.5 comma 1.3 right parenthesis
left parenthesis 5 comma 2 right parenthesis