Question

How do you graph `2x – 4y > 8` and `y <3x + 1`?

Answer 1

Explanation:

to get the intersections with the coordinate axes
for with the x axis y=0

`2x-4y=8`
when y=0
`2x=8`
`x=4`
then is the point (4,0)

now with the y axis, x=0
when x=0

`2x-4y=8`
`-4y=8`
`y=-2`
then is the point (0;-2)

then both points are located and the straight line is obtained
by being an inequality and having the greater sign, a line segment and shaded down is graphed

now `y<3x+1`

same for y=0

`0<3x+1`
`-1/3=x`

for x=0

`y<1`
`y=1`

it can also write as `3x+1>y` by being an inequality and having the greater sign, a line segment and shaded down is graphed