# x-5

<-- Enter Numerical Statement

Display the interval notation and set builder notation for x<5or>-5

Since we have an or statement, we break this up into two pieces
Piece 1 → x<5
Piece 2 → >-5

Evaluate Piece 1

Build the interval notation for x:
Since you did not enter an equal sign, this translates to ) since we will not be including the number 5
Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,5)

Set Builder Notation for x:
{ x | x<5 } where | denotes such that

Evaluate Piece 2

Build the interval notation for x:
Since you did not enter an equal sign, this translates to ( since we will not be including the number -5
Based on the < you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

(-5,+∞)

Set Builder Notation for x:
{ x | x<5 } where | denotes such that

Now we take our two pieces and form our interval notation for x:
(-∞,5) U (-5,+∞)

Display the literal representation for x
-4,-3,-2,-1,0,1,2,3,4,5,...,∞