Concept explainers
To find: The number of solutions that is expected by solving an absolute equation.
Answer to Problem 6LC
An absolute value equation has two solutions.
Explanation of Solution
Given:
Absolute value equation.
Concept used:
Absolute value means to remove any negative sign in front of a number, and to think of all numbers as positive
Modulus of a number is the number with a positive sign.
That is
Calculation:
Modulus of a number is the number with a positive sign.
That is
The solution of an absolute value equation is obtained by first isolating the absolute value expression and writing an equivalent pair of linear equations.
For instances consider the absolute value equation
Then the equivalent pair of linear equations are
This denoted that there are two values on a number line that are
Hence, an absolute value equation has two solutions.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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