How do you graph 4y<=-64y6 on the coordinate plane?

1 Answer
Sep 5, 2017

See a solution process below:

Explanation:

Divide each side of the inequality by color(red)(4)4 to solve for yy while keeping the inequality balanced:

(4y)/color(red)(4) <= -6/color(red)(4)4y464

(color(red)(cancel(color(black)(4)))y)/cancel(color(red)(4)) <= -6/4

y <= -3/2

To graph this we will draw a horizontal line at -3/2 on the vertical axis.

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

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

graph{y<=-3/2 [-10, 10, -5, 5]}