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The problem asks to write and solve an inequality based on Angel's phone plan, which consists of a flat cost of $35 per month and $5 per gigabyte (GB) of data usage. Angel wants to keep his bill under $50 per month.

### Step 1: Write the inequality

The total cost of the plan is made up of:
- A flat fee of $35.
- A charge of $5 for each gigabyte (GB) of data, represented as $ 5x $, where $ x $ is the number of gigabytes.

The total monthly cost should be less than $50, so we set up the inequality:
\[
35 + 5x < 50
\]

### Step 2: Solve the inequality

Now, solve for $ x $:

1. Subtract 35 from both sides:
\[
5x < 50 - 35
\]
\[
5x < 15
\]

2. Divide both sides by 5:
\[
x < \frac{15}{5}
\]
\[
x < 3
\]

Thus, Angel can use less than 3 gigabytes of data to keep his bill under $50.

### Final Answer:
The inequality is:
\[
35 + 5x < 50
\]
And the solution is $ x < 3 $.

Do you want more details on the solution or have any other questions?

Here are 5 related questions to consider:
1. What would the inequality be if the cost per gigabyte increased to $6 instead of $5?
2. If Angel uses exactly 3 gigabytes, how much will his bill be?
3. What if Angel wanted to keep his bill under $60 per month—how would the inequality change?
4. How many gigabytes can Angel use if he decides to pay a fixed $55 budget?
5. What is the maximum number of gigabytes Angel can use if the flat cost is increased to $40?

**Tip:** Always isolate the variable when solving inequalities step by step to keep track of each operation.

Under his cell phone plan, Angel pays a flat cost of $35 per month and $5 per gigabyte. He wants to keep his bill under $50 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Angel can use while staying within his budget.

Learn how to solve a real-world inequality problem involving a cell phone plan with a flat fee and variable cost per gigabyte. Angel needs to keep his bill under $50 per month, and this solution shows how to determine the maximum number of gigabytes he can use.

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