# How do you solve 0.24y-0.64>3.86 and graph the solution on a number line?

Oct 2, 2017

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{0.64}$ to each side of the inequality to isolate the $y$ term while keeping the inequality balanced:

$0.24 y - 0.64 + \textcolor{red}{0.64} > 3.86 + \textcolor{red}{0.64}$

$0.24 y - 0 > 4.5$

$0.24 y > 4.5$

Now, divide each side of the inequality by $\textcolor{red}{0.24}$ to solve for $y$ while keeping the inequality balanced:

$\frac{0.24 y}{\textcolor{red}{0.24}} > \frac{4.5}{\textcolor{red}{0.24}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{0.24}}} y}{\cancel{\textcolor{red}{0.24}}} > 18.75$

$y > 18.75$

To graph this we will draw a horizontal line at $18.75$ 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 the line because the inequality operator does contain a "greater than" clause:

graph{y> 18.75 [-50, 50, -5, 45]}