# How do you graph the inequality 4y-77>=23 on the coordinate plane?

Aug 2, 2017

See a solution process below:

#### Explanation:

First, solve for $y$:

$4 y - 77 + \textcolor{red}{77} \ge 23 + \textcolor{red}{77}$

$4 y - 0 \ge 100$

$4 y \ge 100$

$\frac{4 y}{\textcolor{red}{4}} \ge \frac{100}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} y}{\cancel{\textcolor{red}{4}}} \ge 25$

$y \ge 25$

This graph will be represented by a vertical line cross the $y$ axis at $25$ and will include the value of $25$:

graph{y >= 25 + 0x [-100, 100, -50, 50]}