Solving problems

Question

Find all the number such that the sum of twice the number and 8 is greater than or equal to four times the number.

Answer 1

Let's use the variable x to represent the unknown number.

The text, "the sum of twice the number and 8", can be written as: 2x + 8

Then "is greater than or equal to four times the number" can be written as: ≥ 4x

Combining these gives us:

2x + 8 ≥ 4x

You can solve this inequality using inverse operations:

2x + 8 - 2x ≥ 4x - 2x

8 ≥ 2x

8/2 ≥ 2x/2

4 ≥ x

This means that any number less than or equal to 4 is a valid solution to the inequality.