Question

Which number line models the solution set of the following problem? One less than twice a number is no less than five. What is the solution set?

Answer 1

b

Explanation:

Answer 2

Option 1.

The solution set is: n is a real number, n≥3

Explanation:

1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number
`n` multiplied by 2 and subtract 1 from this term, as following:

`2n-1`

2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:

`2n-1\geq5`

3. Now, you can solve for
`n`. Then, you obtain:

`2n-1\geq5\\2n\geq6\\n\geq(6)/(2)\\n\geq3`

4. Then, the solution set is: n.

5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is
`\leq` or
`\geq`) with a line from that circle to the right.

5. Therefore, the answer is the first option.