Question

Mr. Riley can make a profit by raising at least 50, but not more than 150, cattle. If c represents the number of cattle, write the inequality that best expresses this situation.

Answer 1

To earn profit : 50 < c < 150 is the expression that best expresses this situation.

Explanation:

The minimum number of cattle Mr. Riley can raise = 50

The maximum number of cattle Mr. Riley can raise = 150

Let the number of cattle is represented as c.

So, according to the question:

To make profit,

Number of cattle > 50

and Number of cattle < 150

or, c > 50

and c < 150

Hence, on combining both the expressions, we get

To earn profit 50 < c < 150 is the expression that best expresses this situation.