How do you graph the inequalities #2abs(x-4)>10# on a number line?
There are two solutions:
The reasoning is the following:
First, you can simplify both members of the inequality by 2, obtaining
Then, we must apply the definition of the absolute value that is:
Applying this definition to our problema, we have:
Sorry but I don't know how to insert the graph. Anyway, it is very easy to represent it when you know the solution: you only have to draw a horizontal line, mark the point (-1) on the left side, and the point (+9) on the right side (with a regular distance between both), and then drawing thicker the portion of the line from the left extreme until the point (-1), and also drawing thicker the portion of the line from the point (+9) until the right extreme.