Question

Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 years.

Answer 1

The inequality that represents the age of the group, "x", is:
`17 < x \leq 54`

Explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

`x > 17`

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

`x\leq 54`

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

`17 < x \leq 54`