Question

You need more than $300 to buy a plane ticket. Which of the following number lines shows this inequality?

Option 1: [0, 300]
Option 2: [300, [infinity]]
Option 3: (0, 300)
Option 4: (300, [infinity])

Answer 1

The number line representing the inequality that requires more than $300 to buy a plane ticket is Option 4: (300, [infinity]), as it includes all values greater than 300, extending to infinity, without including 300.

Step-by-step explanation:

To determine which number line represents the inequality that you need more than $300 to buy a plane ticket, we must look for the number line that indicates all the values greater than 300 but not including 300 itself. This is represented by a number line that starts from a point just above 300 and extends indefinitely towards higher values.

The correct option is thus Option 4: (300, [infinity]). This notation means that the values start just after 300, because of the parenthesis (indicating that 300 is not included), and continue onwards to infinity, which is represented by the concept of infinity enclosed in brackets.