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

Answer:

Option 1.

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

Step-by-step 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:

$2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3$

4. Then, the solution set is: {n|n is a real number, n≥3}.

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.