To determine the maximum number of gigabytes \( g \) that Jackson can use while keeping his cell phone bill under $45 per month, we can set up the following inequality based on his costs.
Jackson's monthly bill consists of a flat fee of $44 plus an additional charge of $4 per gigabyte used. Therefore, the total cost \( C \) can be represented as:
\[ C = 44 + 4g \]
To keep his bill under $45, we set up the inequality:
\[ 44 + 4g < 45 \]
Now, we can simplify this inequality:
- Subtract 44 from both sides:
\[ 4g < 1 \]
- Divide both sides by 4:
\[ g < \frac{1}{4} \]
Thus, \( g \) must be less than \( \frac{1}{4} \) gigabytes.
Based on your provided options, the correct inequality that can be used to determine \( g \) is:
45 > 4g + 44 → This is equivalent to the inequality we derived, rearranged.
So, the correct choice among the options you presented is:
45 > 4g + 44.