11.5k views
1 vote
Your friend says that the absolute value equation | 3x+8 |-9=-5 has no solution because the constant

on the right side of the equation is negative. Is your friend correct? Explain

User Licorna
by
7.5k points

1 Answer

3 votes

Answer:

Incorrect

Explanation:

We are given the equation:


\displaystyle \large

Add both sides by 9.


\displaystyle \large \\ \displaystyle \large3x+8

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.


\displaystyle \large

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!

User Neurodynamic
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories