Question

Your friend says the absolute value equation -3|4+2b|+=-20. Has no solution because the constant on the right side of the question is negative.

Is your friend correct?

A) Yes, your friend is correct.
B) No, your friend is not correct.

Answer 1

No, the constant being negative does not mean the absolute value equation has no solution.

Step-by-step explanation:

No, your friend is not correct. The constant on the right side being negative does not mean that the absolute value equation has no solution. In this case, the equation is -3|4+2b| = -20.

To solve this equation, we start by isolating the absolute value term by dividing both sides of the equation by -3. We get |4+2b| = 20/3.

Next, we break the equation into two cases: 1) 4+2b = 20/3 and 2) 4+2b = -(20/3). Solving each case, we find that there are two unique solutions: b = 2/3 and b = -14/3.