Question

Write a compound inequality to represent the scenario. You'll need to bring at least $15 to the movies but you won't need more than $25. Let m represent the money brought to the movies

Answer 1

15 ≤ m ≤ 25 is the required inequality.

Explanation:

Let m : Represent the money brought to the movies.

Now, the money brought is at least $15.

So, the money brought is $15 or more than $15.

⇒ m ≥ 15 ........ (1)

Similarly, the money brought is not more than $25.

So, the money brought is $25 or less than $25.

⇒ m ≤ 25 ........ (2)

Combining equation (1) and (2) , we get

15 ≤ m ≤ 25

Hence, 15 ≤ m ≤ 25 is the required inequality.