Question

trip (so that his company can cover his gas expenses). he has 4 days left on the trip. let x be the number of kilometers per day he will drive. (suppose he will decide to drive the same distance each day.) he has already driven the car for 70 kilometers on the trip.
(a) find the possible numbers of kilometers per day he will drive. write your answer as a compound inequality solved for x.
10 < x < 20

(b) on the number line below, graph the solution that represents the possible numbers of kilometers per day he will drive.

Explanation:

Step1: Analyze the problem setup

Let's assume some un - given constraints. Since no other information about the total distance or limits is provided, we'll work with the given inequality form. We know that \(x\) represents the number of kilometers per day and he has 4 days left. But we'll just focus on the inequality construction for part (a).

Step2: Write the compound inequality

The given inequality is \(10 < x<20\). This means \(x\) is greater than 10 and less than 20.

Step3: Graph for part (b)

On the number - line, we mark an open circle at 10 (because \(x>10\), 10 is not included) and an open circle at 20 (because \(x < 20\), 20 is not included), and then draw a line segment between them.

Answer:

(a) \(10 < x<20\)
(b) On the number - line, place an open circle at 10, an open circle at 20, and draw a line segment connecting them.