To express the compound inequality x < 4 or x > 5 in interval notation, we need to break it down into the individual parts.
The inequality x < 4 means that x can take any value less than 4. In interval notation, this is represented as (-∞, 4). The parentheses indicate that 4 is not included in this interval.
Next, the inequality x > 5 means that x can take any value greater than 5. In interval notation, this is represented as (5, ∞). Again, the parentheses mean that 5 is not included in this interval.
Since this is a compound inequality with the word