Answers:
1)
If we want to solve equations with absolute values we must know we have to find the solution for both positive and negative values. This is because positive and negative values have a positive absolute value.
In a mathematical form this is:
For any positive number , the solution to is:
or
In this case we have to clear first:
This means or
Therefore, the answer is B
2)
In the case of inequalities we have the following statement:
For any positive value of :
is equivalent to
is equivalent to or
Where may be a normal variable or an algebraic expression, as the expression in this exercise.
According to the explained above:
is equivalent to
This means we have to solve the inequality for both cases.
Case 1:
Case 2:
Then, or
3)
This means or
Case 1:
Case 2:
Then, the answer is A: or