How do you solve #1/4|2x+5|+1=7#?
1 Answer
There are two solutions:
Explanation:
Start from definition:
Using this, divide all the real numbers into two groups:
Case 1. Looking for solutions among
Our equation can be written as
Solution is
This value is greater than
Case 2. Looking for solutions among
Our equation can be written as
Solution is
This value is less than
CHECK
1.
2.
You can see these two solution on a graph of
that intersects an X-axis (that is, equals to zero) at the solutions of the initial equation.
graph{1/4|2x+5|-7 [-18.02, 18.02, -9.01, 9.01]}