Question

answer attempt 1 out of 3

inequality notation: ( x leq - 5 \text{ or } x > 6 )

number line:

Explanation:

Step1: Plot \(x\leq - 5\)

For \(x\leq - 5\), we use a closed - circle at \(x = - 5\) (because the inequality includes equality) and draw an arrow to the left.

Step2: Plot \(x>6\)

For \(x>6\), we use an open - circle at \(x = 6\) (because the inequality does not include equality) and draw an arrow to the right.

Answer:

On the number line, place a closed circle at \(-5\) and shade to the left, and place an open circle at \(6\) and shade to the right.