To represent the situation where Victoria is 4 years older than her neighbor and the sum of their ages is no more than 14 years, you can use the following inequality:
Let x be the age of Victoria's neighbor.
1. Victoria's age can be represented as x + 4 (since she is 4 years older than her neighbor).
2. The sum of their ages should be no more than 14 years, so the inequality would be:
x + (x + 4) ≤ 14
This simplifies to:
2x + 4 ≤ 14
3. Further simplifying the inequality:
2x ≤ 10
x ≤ 5
Therefore, the inequality that represents the given situation is x ≤ 5, where x represents Victoria's neighbor's age. This means that Victoria's neighbor's age cannot be more than 5 years for the sum of their ages to be no more than 14 years.
