Final answer:
To solve an absolute value equation, you would usually find two solutions, one positive and one negative. However, the question lacks context, so we cannot definitively choose an option without a specified absolute value equation.
Step-by-step explanation:
The question "Solve the absolute value equation" is asking us to determine the value of x in an equation involving the absolute value. To solve an absolute value equation like x = a, where a is a positive number, we find two solutions: one where x = a and another where x = -a. The reason is that the absolute value of x equals a when x is 'a' units away from zero on either the positive or negative side of the number line.
In the given case, since the absolute value isn't specified, one would normally solve for both x = 5 and x = -5, making option 3 x = -5 or x = 5 the correct one. However, since no absolute value is actually provided in the question, the answer cannot be definitively selected from the provided options without the context of an actual absolute value equation.
When solving equations, it is also important to check your answer to ensure that it is reasonable in the context of the problem. Remember, if you encounter sign rules while solving equations, when two positive numbers add or multiply, the result is positive, and the same is true for two negative numbers.
If they have opposite signs, the result will take the sign of the number with the larger absolute value for addition, and it will be negative for multiplication.