the graph to the right shows that the three components of love, namely passion, intimacy, and commitment…

the graph to the right shows that the three components of love, namely passion, intimacy, and commitment, progress differently over time. passion peaks early in a relationship and then declines. by contrast, intimacy and commitment build gradually. use set - builder notation to write an inequality that expresses for which years in a relationship intimacy is greater than commitment. the years for which intimacy is greater than commitment in a relationship is {x|}.

the graph to the right shows that the three components of love, namely passion, intimacy, and commitment, progress differently over time. passion peaks early in a relationship and then declines. by contrast, intimacy and commitment build gradually. use set - builder notation to write an inequality that expresses for which years in a relationship intimacy is greater than commitment. the years for which intimacy is greater than commitment in a relationship is {x|}.

Answer

Explanation:

Step1: Define variables

Let $x$ be the number of years in a relationship. Let $I(x)$ be the level of intimacy and $C(x)$ be the level of commitment at year $x$.

Step2: Write the inequality

We want to find when $I(x)>C(x)$. In set - builder notation, the set of years $x$ for which intimacy is greater than commitment is ${x\in\mathbb{R}:I(x)>C(x)}$

Answer:

${x\in\mathbb{R}:I(x)>C(x)}$