Plz

25 pts with brainlest

solve |x| + 7 < 4.

{x | x < -11 or x > -3}

{x | -3 < x < 3}

ø

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.