How do you solve and graph - x - 3 < - 5 ?
How do you solve and graph ?
Answer & Explanation
To solve, first treat the inequality like an equation.
Add 3 to each side to isolate the variable. So you get
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.
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 . Since the inequality is greater than and not greater than or equal to 2, is not a value.
So this line will be dotted. (if the equation was , 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.