To express the compound inequality x < 4 or x > 5 in interval notation, we must break down each part of the inequality.
1. The inequality x < 4 means that all values of x less than 4 are included. In interval notation, this is represented as:
(- ∞, 4)
This indicates that the interval extends from negative infinity up to, but not including, 4.
2. On the other hand, the inequality x > 5 includes all values of x that are greater than 5. In interval notation, this is shown as:
(5, ∞)
This means the interval starts just after 5 and continues to positive infinity.
Since we are dealing with a compound inequality that uses