Question

graph the compound inequality on the number line.
x≥7 or x≤−6

Explanation:

Step1: Analyze \(x\geq7\)

For \(x\geq7\), since the inequality includes \(7\), we use a closed - circle (●) at \(7\) and draw an arrow to the right (→) to represent all values greater than or equal to \(7\).

Step2: Analyze \(x\leq - 6\)

For \(x\leq - 6\), since the inequality includes \(-6\), we use a closed - circle (●) at \(-6\) and draw an arrow to the left (←) to represent all values less than or equal to \(-6\).

Answer:

Place a closed - circle (●) at \(x = 7\) and draw an arrow to the right, and place a closed - circle (●) at \(x=-6\) and draw an arrow to the left on the number line.