Question

a sign on the road says, \speed limit: 60 miles per hour.\ a. let s be the speed of a car. write an inequality that matches the information on the sign. b. draw a number line to represent the solutions to the inequality. c. could 60 be a value of s? explain your reasoning.

Explanation:

Step1: Write the correct inequality

The speed limit is 60 miles per hour, so the speed $s$ of the car should be less than or equal to 60. The correct inequality is $s\leq60$.

Step2: Draw the number - line

Draw a number line. Mark a closed circle at 60 (because 60 is included in the solution set, due to $\leq$) and shade the line to the left of 60 to represent all the values of $s$ that satisfy the inequality.

Step3: Answer part c

60 can be a value of $s$ because the inequality is $s\leq60$, which means $s$ can be equal to 60 or any value less than 60.

Answer:

a. $s\leq60$
b. Draw a number line with a closed - circle at 60 and shade to the left.
c. Yes, because the inequality $s\leq60$ allows $s$ to be equal to 60.