Question

Use interval notation to designate x > 1 and identify it as open, closed, or partially closed.

Answer 1

The inequality x > 1 is expressed in interval notation as (1, ∞) and is considered an open interval, which means the endpoint 1 is not included and there is no upper bound.

Step-by-step explanation:

To express the inequality x > 1 using interval notation, we would write it as (1, ∞). This interval is considered to be an open interval because it does not include the endpoint 1, nor does it have an upper bound, as x can take on any value greater than 1. We can understand this by considering a real-world example: if we were to measure time, and we have a situation where time must be greater than 1 minute, we would use the same format to express that any time value beyond 1 minute fits the condition.