Final answer:
To solve and graph the inequality 7p + 3p < 3 + 7p, simplify the equation, isolate the variable p, and graph the solution on a number line. The correct answer is p < 3.
Step-by-step explanation:
To solve and graph the inequality 7p + 3p < 3 + 7p, we can start by simplifying the equation. Combining like terms, we get 10p < 3 + 7p. Next, we can isolate the variable p by subtracting 7p from both sides, resulting in 3p < 3. Finally, we divide both sides by 3 to solve for p, giving us p < 1.
The graph of this inequality is represented by all the numbers less than 1 on a number line. The answer is therefore option B, p < 3.