Question

Translate the sentence into an inequality.

Eight subtracted from the product of 7 and a number is greater than 30.
Use the variable c for the unknown number.

Answer 1

the unknown number c must be greater than 5.4286 in order for the inequality to be true. We can write this in interval notation as (5.4286, ∞).

Explanation:

The inequality can be written as:

7c - 8 > 30

To solve for c, we can first add 8 to both sides:

7c > 38

Then, we can divide both sides by 7:

c > 38/7

So the solution is:

c > 5.4286

Therefore, the unknown number c must be greater than 5.4286 in order for the inequality to be true. We can write this in interval notation as (5.4286, ∞).