Final answer:
To translate the sentence into an inequality, we need to write the mathematical expressions for the given sentence and solve the resulting inequality.
Step-by-step explanation:
To translate the sentence into an inequality, we first need to break down the sentence into mathematical expressions. 'A number x divided by eight minus thirteen' can be written as x/8 - 13. 'Is greater than negative six' can be written as > -6. Combining these expressions, we get the inequality x/8 - 13 > -6.
To solve this inequality, we can start by adding 13 to both sides: x/8 > 7. Then, we can multiply both sides by 8 to isolate x: x > 56.
Therefore, the inequality that represents the given sentence is x > 56.