Question

The difference of twice a number and 2 is at least −26.

Use the variable for the unknown number.

Translate this sentence into an inequality.

Answer 1

2 (c-2) ≤ -26

Explanation:

Let's look at the phrase "Twice the difference of a number and 8".

We're using c for the unknown number.

So "the difference of a number and 8" is written −c8.

Taking twice this quantity, we get 2−c8.

The symbol for "is at most" is ≤. We get the following:

2 (c-2) ≤ -26

Answer 2

`2x - 2 \geqslant - 26`