The solution to the inequality
can be represented textually as:
This means that the set of values for p satisfying the inequality includes all real numbers greater than or equal to 3.
To graph the solution to the inequality
, we can start by isolating p.
Divide both sides of the inequality by -4, remembering to reverse the inequality sign when dividing by a negative number:
Now, we represent this on a number line:
1. Mark a point at 3 on the number line.
2. Draw a solid dot at 3 to include 3 in the solution set because of the inequality sign
.
3. Extend the line to the right, indicating that p can be any value greater than or equal to 3.
The graph on the number line shows that the solution set for p includes all real numbers greater than or equal to 3.