Final answer:
The inequality '4(x - 11) > 16' translates to 'Four times the difference between a number and eleven is greater than sixteen.' It specifies that after subtracting eleven from a number (x) and multiplying the result by four, it must exceed sixteen.
Step-by-step explanation:
The inequality 4(x - 11) > 16 expressed in a word sentence is: 'Four times the difference between a number and eleven is greater than sixteen.' To illustrate how you can approach this type of mathematical expression in a verbal context, let's break down the inequality step-by-step:
- Firstly, the '4(x - 11)' part indicates we are multiplying four by the difference between some number 'x' and eleven.
- Next, the '>' symbol is a mathematical way to express 'is greater than' in a sentence.
- Lastly, the '16' is simply the number that the product of '4(x - 11)' is being compared to, indicating that it must be greater than sixteen.
In summary, the inequality as a sentence tells us that whatever 'x' is, when you subtract eleven from it and then multiply the result by four, it should result in a number larger than sixteen.