Question

Translate the sentences into an algebraic inequality.A tour bus can seat 55 passengers. A minimum of 15 people must register for the tour to book the bus.

Answer 1

`\text{15 }\leq\text{ x }\leq55`

Step-by-step explanation

The tour bus can seat 55 passengers.

A minimum of 15 people must register for the tour to book the bus.

This means that the number of people that must register for the tour must be greater than or equal to 15 and less than or equal to 55.

Let the number of people that must register be x.

Then we have that the inequality that represents the situation is:

`\begin{gathered} x\ge\text{ 15 and x }\leq\text{ 55} \\ \Rightarrow\text{ 15 }\leq\text{ x }\leq55 \end{gathered}`

That is the inequality.