Question 1003072
NOTE: This help is for how to handle graphing the system of linear inequalities.  Learning how to graph lines from their EQUATIONS is a separate piece of instruction, and it is NOT included in this help-response.



The system shows strict inequalities.  Graph each line BUT use a dotted-line representation, BECAUSE the strict inequalities EXCLUDE the line.


Shade the region below the line for {{{y<2x+1}}}.


Shade the region above the line for {{{y>-(1/4)x+2}}}.





The intersection of regions is visibly obvious.  That is the solution region.



Not any other "Steps", really.  You just must understand how to graph lines from slope-intercept form.