what is the solution of |-1 + x| = 5
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the absolute value equation:
| -1 + x | = 5
Determine the solution.
Solution:
In order to determine the solution of the given equation, we must simplify first the value inside the absolute value sign. The absolute value sign denotes that the absolute value of any real number is equal to the positive value of that number, thus the absolute value of negative numbers will become positive.
| -1 + x | = 5
1 + x = 5
Transpose 1 on the other side of the equation hence we must take note that in transposing a number , the sign changes.
x = 5 - 1
x = 4
Final answer:
x =4