Solve the equation. If there is no solution, select no solution.

| b/2 | + 5 = -7


b = –24

b = 4 or –4

no solution

b = –4

1 answer

To solve the equation \(| \frac{b}{2} | + 5 = -7\), we first isolate the absolute value:

\[ | \frac{b}{2} | + 5 = -7 \]

Subtracting 5 from both sides gives:

\[ | \frac{b}{2} | = -7 - 5 \] \[ | \frac{b}{2} | = -12 \]

Since the absolute value of any number is always non-negative (i.e., it cannot be negative), there are no solutions to this equation.

Thus, the answer is:

no solution