How do you graph and solve #abs(x+1)<=11#?
1 Answer
Solution:
Explanation:
Start from a definition of the absolute value.
For non-negative real
For negative real
In short:
if
if
Using this definition, let's divide the domain of the
1.
2.
Case 1. Looking for solutions in interval
Since in this interval
Together with a boundary of the interval, we have come to a solution:
Case 2. Looking for solutions in interval
Since in this interval
Together with a boundary of the interval, we have come to a solution:
So, two intervals are the solution to an original inequality:
These can be combined into
Here is a graph of
graph{|x+1| [-20, 20, -15, 15]}
It illustrates the solution