Ellen Chang

2022-07-02

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

zlepljalz2

Expert

Step 1
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.

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