Question

graph the compound inequality on the number line.
x > 6 or x ≤ -5

Explanation:

Step1: Graph \(x > 6\)

On the number - line, for \(x>6\), we use an open circle at \(x = 6\) (because \(x\) is strictly greater than 6, 6 is not included) and draw an arrow to the right to represent all numbers greater than 6.

Step2: Graph \(x\leq - 5\)

For \(x\leq - 5\), we use a closed circle at \(x=-5\) (because \(x\) can be equal to - 5) and draw an arrow to the left to represent all numbers less than or equal to - 5.

Answer:

On the number - line, there is an open circle at \(x = 6\) with an arrow to the right and a closed circle at \(x=-5\) with an arrow to the left.