Question

express the interval using two different representations. x < 0 or x > 3 answer attempt 2 out of 2 interval notation: (-∞,0)∪(3,∞) number line:

Explanation:

Step1: Recall interval - notation rules

For \(x < 0\), it's \((-\infty,0)\) and for \(x>3\), it's \((3,\infty)\). The 'or' means union \(\cup\).

Step2: Visualize on number - line

Draw an open circle at \(x = 0\) and shade left for \(x < 0\), draw an open circle at \(x = 3\) and shade right for \(x>3\).

Answer:

Interval Notation: \((-\infty,0)\cup(3,\infty)\)
Number Line: Open - circle at 0, shade left; open - circle at 3, shade right.