Question 1001676
Graph: {{{y<2x+1}}}-> this is the graph of a line

just graph {{{y=2x+1}}} and solution will be shaded area under this line

find two points that lie on this line and draw a line through

x-intercept and y-intercept are easiest to find

set {{{y=0}}} and find x-intercept

{{{0=2x+1}}}=>{{{2x=-1}}}=>{{{x=-1/2}}}

set {{{x=0}}} and find y-intercept

{{{y=2*0+1}}}=>{{{y=1}}}

points are:({{{-1/2}}},{{{0}}}) and ({{{0}}},{{{1}}})

plot them and draw a line through

{{{drawing( 600, 600, -10, 20, -10, 10,
circle(-1/2,0,.12),circle(0,1,.12),
locate(-1/2,0,p(-1/2,0)),locate(0,1,p(0,1)),locate(1,2,shade-the-area- to-the-right-where(y<2x+1)),
 graph( 600, 600, -10, 20, -10, 10, 2x+1)) }}}


2.
{{{ y>-(1/4)x+2}}}

set {{{y=0}}} and find x-intercept

{{{ 0=-(1/4)x+2}}}

{{{ (1/4)x=2}}}

{{{ x=2/(1/4)}}}

{{{ x=8}}}

set {{{x=0}}} and find y-intercept

{{{ y=-(1/4)0+2}}}

{{{ y=2}}}


points are:({{{8}}},{{{0}}}) and ({{{0}}},{{{8}}})

plot them and draw a line through

{{{drawing( 600, 600, -10, 25, -10, 10,
circle(8,0,.12),circle(0,2,.12),
locate(8,0,p(8,0)),locate(0,2,p(0,2)),locate(1,3,shade-the-area- above-the-line-where(y>-(1/4)x+2)),
 graph( 600, 600, -10, 25, -10, 10, -(1/4)x+2)) }}}