Question

express the interval using two different representations. x > 5 answer attempt 1 out of 2 interval notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Recall interval - notation rules

For $x > a$, the interval - notation is $(a,\infty)$. Here $a = 5$, so the interval notation is $(5,\infty)$.

Step2: Recall number - line representation

On a number line, for $x>5$, we draw an open circle at $x = 5$ (because $5$ is not included in the solution set) and draw an arrow to the right to represent all numbers greater than $5$.

Answer:

Interval Notation: $(5,\infty)$
Number Line: An open circle at $5$ and an arrow pointing to the right.