Question

Think about a real-life situation that would create a real-world system of inequalities.  Write the situation as a word problem, and provide the system of inequalities.

Answer 1

Word Problem

Dalion goes to the store to get the new promo ice-cream that costs $2 per scoop. The total amount of money with Dalion is $30.

Write an inequality for the number of scoops that Dalion can get.

Let the number of scoops that Dalion can get be x.

If Dalion gets x scoops of ice cream, the price = x × 2 = 2x dollars

But we know that the cost of x scoops of ice cream cannot exceed the total amount of money with Dalion, that is, $30.

So,

2x dollars has to be less than or equal to $30. In mathematical terms, the equation is

2x ≤ 30

Hope this Helps!!!