Solve the equation and show the solution set on a number line: |x+5|=x+5
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
| x + 5 | = x + 5
Solution:
In order to solve the equation, we simply need to get first the absolute value of the number, inside the absolute value sign, hence we must take note that the absolute value of any number is equal to its positive value.
| x + 5 | = x + 5
x + 5 = x + 5
Since the values for both sides of the equation is equal, it simply means that there is no solution. This can be proven by transposing x + 5 on one side of the equation, hence we must take note that in transposing a number, the sign changes.
x + 5 = x + 5
x + 5 - x + 5 = 0
0 = 0
Final answer:
No solution