Question

Jorge is 1 year younger than his brother. The sum of their ages is no less than 25 years.

Enter an inequality that can be used to represent this situation in the first box, where x represents Jorge's brother's age.
Enter the youngest age Jorge's brother can be in the second box.

Answer 1

The inequality to represent Jorge and his brother's age situation is x + (x - 1) >= 25, which simplifies to x >= 13. Hence, the youngest age Jorge's brother can be is 13 years old.

Step-by-step explanation:

The situation described in the question can be represented by the following inequality

Let x represent Jorge's brother's age. Because Jorge is 1 year younger than his brother, Jorge's age is x - 1. The sum of their ages is at least 25 years. Therefore, we can write the inequality as x + (x - 1) ≥ 25.

Simplifying this inequality:

• 2x - 1 ≥ 25
• 2x ≥ 26
• x ≥ 13

The youngest age Jorge's brother can be is 13 since if he were younger, the total age would not be at least 25.

Answer 2

Jorge is 8, and his brother is 9. In an inequality it'll be 2x+2j - 2 is greater than or equal to 25.