Question

Translate the sentence into an inequality.Twice the difference of a number and 2 is at least −28.Use the variable x for the unknown number.

Answer 1

To answer this question we have to identify the elements of the inequality.

1. The difference of a number and 2 is represented by the expression: x-2.

2. Twice the difference (...) is represented by the expression: 2(x-2).

3. At least is represented by the sign greater than or equal to ≥.

4. The result is -28.

By putting these all together we obtain the inequality:

`2(x-2)\ge-28`

It means that the answer is 2(x-2) ≥ -28.