Question

How do you graph `-y>=4/3` on the coordinate plane?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the inequality by `color(blue)(-1)` to solve for `y` while keeping the inequality balanced. However, because we are multiplying an inequality by a negative number we must reverse the inequality operator:

`color(blue)(-1) xx -y color(red)(<=) color(blue)(-1) xx 4/3`

`y color(red)(<=) -4/3`

Or

`y >= -1 1/3`

To graph this we will draw a horizontal line at `-4/3` on the vertical axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

We will shade below the line because the inequality operator also contains a "less than" clause:

graph{y <= -4/3 [-10, 10, -5, 5]}