Answer:
Incorrect
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle \large{|3x+8|-9=-5}[/tex]
Add both sides by 9.
[tex]\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}[/tex]
When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.
[tex] \displaystyle \large{ |ax + b| = c}[/tex]
If c ≥ 0, the equation has solutions.
If c < 0, the equation does not have solutions.
Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.
From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.
Hence, the equation does have a solution!
