Final answer:
The sentence is translated to the inequality 5x - 1 >= -11, and after solving, it is found that x must be greater than or equal to -2.
Step-by-step explanation:
The sentence 'Five times a number x minus one is greater than or equal to negative eleven' can be translated into an inequality as 5x - 1 ≥ -11.
To solve this inequality, you would perform the following steps:
- Add 1 to both sides of the inequality to get 5x ≥ -10.
- Divide both sides by 5, giving us x ≥ -2.
This means that the value of x is just as likely to be any number greater than or equal to -2.