Final answer:
The student is seeking an absolute value equation with specific solutions. An example meeting this requirement, assuming the solutions are -3 and 3, is |x| = 3, which implies that x could be 3 units away from zero in both the positive and negative directions on the number line.
Step-by-step explanation:
The student is asking for an equation involving an absolute value that has specific solutions indicated on a number line. Given the context provided, however, the exact solutions were not included in the question, so let's assume that the solutions are -3 and 3.
To write an absolute value equation with these solutions, we would set the absolute value equal to the positive solution since absolute value measures distance from zero on the number line. The general form of an absolute value equation is |x - a| = b, where a represents the point at which the equation is equal to zero and b is the distance from that point to the solutions. Hence, for solutions -3 and 3, our absolute value equation could be |x| = 3.
This equation represents the fact that the variable x can have a distance of 3 from zero on the number line, whether it's in the positive direction (x = 3) or the negative direction (x = -3).