# How do you solve and graph -x-3<-5?

Mar 14, 2017

The answer is $x > 2$.

#### Explanation:

graph{x>2 [-10, 10, -5, 5]}

To solve, first treat the inequality like an equation.

$- x - 3 < - 5$

Add $3$ to each side to isolate the variable. So you get

$- x < - 2$

To get rid of the negative, you must divide by $- 1$ on both sides because $x$ is being multiplied by $- 1$. When dividing an inequality by a negative number, you have to flip the sign.

$x > 2$
Now use this equation to graph. You are trying to locate all points where the $x$ value is greater than $2$.
First, find the horizontal line $x = 2$. Since the inequality is greater than and not greater than or equal to $2$, $x = 2$ is not a value.
So this line will be dotted. (if the equation was $x \ge 2$, the line would be solid.) You are looking for all points where $x$ is greater than $2$, so shade in the whole portion of the graph which is to the right of the dotted line.
These are all the points whose $x$-values are greater than $2$.