# How do you graph the inequality 5y+8<=33 on the coordinate plane?

Feb 18, 2017

The inequality simplifies to $y \le 5$

#### Explanation:

First write the equation with a single $y$.

$5 y + 8 \le 33 \text{ "rarr 5y <=33-8" } \rightarrow 5 y \le 25$

The equation simplifies to $y \le 5$

All horizontal lines have the equation: $y = \text{ 'a number' }$

The inequality has a solid horizontal line and a shaded area below the line. (y can be equal to 5 as well as being a value less than 5.)

graph{y <= 5 [-20.88, 19.12, -10.36, 9.64]}