Final answer:
The correct number line that shows the solution set for this absolute value inequality is the number line going from -1 to 8 with closed circles at -1 and 5.
Step-by-step explanation:
The correct number line that shows the solution set for StartAbsoluteValue 2 p minus 4 EndAbsoluteValue greater-than-or-equal-to 6 is the number line going from -1 to 8. Closed circles at -1 and 5 indicate that these values are included in the solution set, and everything between the points is shaded.