Question

How do you graph `x-4y>=-8`?

Answer 1

See the explanation

Explanation:

`color(brown)("Making the "y" term positive")`

Multiply by (-1)

`-x+4y<=-8" "larr" notice that the ">=" is now "<=`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(brown)("Isolate the "y" term")`

Add `x` to both sides

`-x+x+4y<=-8+x`

`4y<=x-8`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(brown)("Isolate the "y)`

Divide both sides by 4

`4/4xx y<=x/4-8/4`

`y<=x/4-2`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(brown)("Now plot your graph the normal way")`

At `y=0 -> x=8`
At `x=0-> y=-2`