your cellphone plan costs $24.99 per month plus $0.11 for each text message you send or receive. you have at most $28 to spend on your cellphone bill. what is the maximum number of text messages that you can send or receive next month

24.99 + 0.11x < 28

0.11x < 3.01

x < 27.36 = 27 messages

To find the maximum number of text messages you can send or receive next month, we need to set up an inequality using the given information.

Let's assume the maximum number of text messages is "x".

The cost of the cellphone plan per month is $24.99.

The cost of each text message is $0.11.

The total cost of the cellphone bill must be at most $28.

So, we can set up the following inequality:

$24.99 + $0.11x ≤ $28

To solve for "x", we can simplify the inequality:

$0.11x ≤ $28 - $24.99

$0.11x ≤ $3.01

Divide both sides of the inequality by $0.11 to isolate "x":

x ≤ $3.01 / $0.11

x ≤ 27.363636...

Since we can't have a fraction of a text message, the maximum number of text messages you can send or receive next month is 27.

Please note that if you send or receive more than 27 text messages, your total bill will exceed $28.