Final answer:
The inequality x > 18 represents the word sentence 'Three less than a number x is more than 15.' The solution to this inequality is that x is any number greater than 18.
Step-by-step explanation:
Three less than a number x can be represented as x - 3. When this expression is more than 15, it can be written as:
x - 3 > 15
To solve this inequality, we need to isolate x. Adding 3 to both sides gives us:
x - 3 + 3 > 15 + 3
x > 18
So, the inequality that represents the word sentence is x > 18. The solution to this inequality is that x is any number greater than 18.