Question

problem #9
write the inequality for the word problem. then, graph it on the number line.
the car can hold up to 4 passengers. write an inequality for the number of passengers that could be in the car at any given time.

Explanation:

Step1: Define the variable

Let $p$ be the number of passengers in the car.

Step2: Write the inequality

Since the car can hold up to 4 passengers, it means the number of passengers $p$ is less than or equal to 4. So the inequality is $p\leq4$.

Step3: Graph on number - line

On the number - line, we put a closed circle at 4 (because 4 is included in the solution set, due to $\leq$) and draw an arrow to the left to represent all the numbers less than or equal to 4.

Answer:

The inequality is $p\leq4$. On the number - line, there is a closed circle at 4 and an arrow pointing to the left.