Answer:
No solution.
You can also write this as the empty set.
The symbol for empty set is ∅.
The problem:
Solve |x|+7<4
Step-by-step explanation:
|x|+7<4
Subtract 7 on both sides to get the term containing the | | by itself:
|x|+7-7<4-7
|x|+(7-7)<4-7
Simplify:
|x|<-3
The thing is this will never happen for any x since there is no positive number less than -3. Also 0 is not less than -3. All positive numbers or 0 are greater than any given negative number.
| | will always produce a positive or 0 output.
