Which of these equations have no solution? Check all that apply.
2 answers:
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Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, if
, and
if
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then
, so that
- On the other hand, if
, then
, so
