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 [tex]n[/tex] multiplied by 2 and subtract 1 from this term, as following:
[tex]2n-1[/tex]
2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:
[tex]2n-1\geq5[/tex]
3. Now, you can solve for [tex]n[/tex]. Then, you obtain:
[tex]2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3[/tex]
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 [tex]\leq[/tex] or[tex] \geq[/tex]) with a line from that circle to the right.
5. Therefore, the answer is the first option.
