Question

A certain population demographic may be defined as someone 40 and older, but less than 51 years of age. Express this statement using inequalities

Answer 1

The age demographic of someone who is 40 and older but less than 51 can be expressed by the compound inequality 40 ≤ age < 51.

Step-by-step explanation:

To express the age demographic of someone who is 40 and older, but less than 51 years of age using inequalities, we write:

• A person must be more than or equal to 40 years old. This can be written as age ≥ 40.
• At the same time, the person must be less than 51 years old. This is written as age < 51.

Combining these two statements, the demographic is described by the compound inequality 40 ≤ age < 51.

This implies that anyone who falls within this age range is part of the specified population demographic, while those younger than 40 or those aged 51 and above are not included.