# a5

<-- Enter Numerical Statement

Display the interval notation for a<0ora>5

Simplify a<0
Simplify a>5
Therefore, a<0 or a>5
Display the interval notation and set builder notation for a<0ora>5

Since we have an or statement, we break this up into two pieces
Piece 1 → a<0
Piece 2 → a>5

Evaluate Piece 1

Build the interval notation for a:
Since you did not enter an equal sign, this translates to ) since we will not be including the number 0
Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,0)

Set Builder Notation for a:
{ a | a<0 } where | denotes such that

Evaluate Piece 2

Build the interval notation for a:
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 a:
{ a | a<0 } where | denotes such that

Now we take our two pieces and form our interval notation for a:
(-∞,0) U (5,+∞)

Display the literal representation for a
6,7,8,9,10,11,12,13,14,15,...,∞