Question

How do you graph `8y> -4` on the coordinate plane?

Answer 1

See a solution process below:

Explanation:

Divide each side of the inequality by `color(red)(8)` to solve for `y` while keeping the inequality balanced:

`(8y)/color(red)(8) > -4/color(red)(8)`

`(color(red)(cancel(color(black)(8)))y)/cancel(color(red)(8)) > -1/2`

`y > -1/2`

To graph this we will draw a horizontal line at `-1/2` on the vertical axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade above line because the inequality operator is a "greater than" operator:

graph{y > -1/2 [-4, 4, -2, 2]}