Question 1125121
Graph the inequality: 

{{{-1<y+5x<=11}}}

{{{-5x-1<y<=-5x+11}}}

first graph two lines,{{{-5x-1=y}}} and {{{y=-5x+11}}}

you need two points to graph each line

{{{-5x-1=y}}} if {{{x=0}}}->{{{-1=y}}}=>point:({{{0}}},{{{-1}}})

{{{-5x-1=y}}} if {{{yx=0}}}->{{{5x=-1}}}->{{{x=-1/5}}}=>point:({{{-1/5}}},{{{0}}})

second line

{{{y=-5x+11}}}if {{{x=0}}}->{{{y=11}}}=>point:({{{0}}},{{{11}}}
{{{y=-5x+11}}}if {{{y=0}}}->{{{5x=11}}}->{{{x=11/5}}}=>point:({{{11/5}}},{{{0}}}


plot points and draw lines through:

{{{ drawing( 600, 600, -10, 10, -10, 15,
circle(0,11,.12),circle(11/5,0,.12),circle(-1/5,0,.12),circle(0,-1,.12),
locate(0,11,p(0,11)),locate(11/5,0,p(11/5,0)),locate(-1/5,0,p(-1/5,0)),
locate(0,-1,p(0,-1)),
graph( 600, 600, -10, 10, -10, 15, -5x+11, -5x-1)) }}}


since you need {{{-5x-1<y<=-5x+11}}}, left line on graph above should be dashed because that one is NOT part of solution, right line IS part of solution

your solution will be area between these lines including a line to the right (shade it), like this


<a href='https://postimg.cc/hQVn7mTq' target='_blank'><img src='https://i.postimg.cc/hQVn7mTq/372b10bca1ae1158571296bd5cc9b6a7-2.png' border='0' alt='372b10bca1ae1158571296bd5cc9b6a7-2'/></a>