Question

victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years.
enter an inequality that can be used to represent this situation in the box, where x represents victorias neighbors age

Explanation:

Step1: Determine Victoria's age

Victoria is 4 years older than her neighbor (whose age is \( x \)), so Victoria's age is \( x + 4 \).

Step2: Set up the inequality for the sum of their ages

The sum of their ages (Victoria's age + neighbor's age) is no more than 14. So we add their ages: \( x+(x + 4) \) and this is less than or equal to 14. So the inequality is \( x+(x + 4)\leq14 \). We can simplify the left - hand side: \( 2x+4\leq14 \).

Answer:

\( x+(x + 4)\leq14 \) (or \( 2x + 4\leq14 \))