Question

The sum of two numbers must be 14 or greater. The product of the two numbers must be less than 40. Which system of inequalities represents this situation?

A.{x+y≥14xy<40

B.{x+y≥14xy<40

C.{x+y>14xy<40

D.{x+y>14xy<40

Answer 1

The correct system of inequalities for the given situation is A: {x + y ≥ 14, xy < 40}. This represents the conditions that the sum of two numbers must be 14 or greater, and their product must be less than 40.

Step-by-step explanation:

The question asks for a system of inequalities that represents the situation where the sum of two numbers must be 14 or greater and their product must be less than 40. The correct system of inequalities is:

A. {x + y ≥ 14, xy < 40}

This is because the first inequality x + y ≥ 14 ensures that the sum of the numbers is at least 14, which can be equal to or greater than 14. The second inequality xy < 40 ensures that the product of the two numbers is less than 40.

Answer 2

A

Step-by-step explanation:

x+y≥14

xy<40