Question

How do I graph x - 4y < 0

Answer 1

The graph in the attached figure

Explanation:

we have

`x-4y < 0`

isolate the variable y

`-4y < -x`

Divide by -4 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

`y > (x)/(4)`

The solution of the inequality is the shaded area above the dashed line
`y=(x)/(4)`

The slope of the dashed line is positive m=1/4

The y-intercept of the dashed line is (0,0)

The x-intercept of the dashed line is (0,0)

using a graphing tool

The graph in the attached figure