Translate the sentence into an inequality the difference of twice a number and 8is at least-23

Answer 1

Hello Aiden,

Let's break it down into 2 parts:

1. "the difference of twice a number and 8" ----> if x is that number, twice that number would be 2x; therefore, this clause can be turned into the expression 2x - 8 because 2x - 8 means the difference between 2x and 8.
2. "is at least -23" means the minimum value is -23. It can equal -23, it can also be greater than -23 but it CANNOT be less than -23. Therefore, the symbol would be ≥ -23

Putting parts 1 and 2 together, you get the inequality: 2x - 8 ≥ -23

Cheers.