Question

4. How many solutions does the equation |x-5|=-7 have?

a. O solutions
b. 1 solution
c. 2 solutions
d. infinitely many solutions

Answer 1

The equation |x-5|=-7 has 1 solution.

Step-by-step explanation:

To determine the number of solutions to the equation |x-5|=-7, we need to understand the concept of absolute value. The absolute value of x-5 is equal to -7 when x-5 is equal to 7 (since the absolute value of a number cannot be negative). So, x-5=7. Solving for x, we find x=12. Therefore, the equation has 1 solution.

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