Question

write the inequality x < 4 in interval notation.
(-∞,4
(-∞,4)
4,∞)
(4,∞)
does the inequality represent a bounded interval or an unbounded interval?
bounded interval
unbounded interval

Explanation:

Step1: Recall interval - notation rules

For \(x < a\), the interval notation uses an open - parenthesis on the side of \(a\) and \(-\infty\) with an open - parenthesis since \(-\infty\) is not a real number. Here \(a = 4\), so the interval notation is \((-\infty,4)\).

Step2: Determine boundedness

A bounded interval has two finite endpoints. Since one of the endpoints of the interval \((-\infty,4)\) is \(-\infty\) (not a finite number), it is an unbounded interval.

Answer:

1. B. \((-\infty,4)\)
2. unbounded interval