Question

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.

Let n = a number. Choose the inequality that represents the given relationship.

Answer 1

Answer: 3n - 2 ≥ 5n

Explanation:

3n - 2 ≥ 5n

The numbers that satisfy the given conditions are all real numbers greater than or equal to 2. To prove this, first solve for n:

3n - 2 ≥ 5n

-2 ≥ 2n

-1 ≥ n

Therefore, any number greater than or equal to 2 satisfies the given conditions.