Display the interval notation and set builder notation for |x|<3

Because we have an absolute value, we have two equations that we form:

- x<(c)
- x>-(c)

- x<3
- x>-3

Since we have an

Piece 1 → x<3

Piece 2 → x>-3

You entered the less than sign in the expression x<3

We start with the right side of the interval notation

Since you did not enter an equal sign, this translates to ) since we will not be including the number 3

Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

You entered the greater than sign in the expression x>-3

We start with the left side of the interval notation

Since you did not enter an equal sign, this translates to ( since we will not be including the number -3

Based on the < you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞