Question

a cell phone company offers two texting plans. people who use plan a pay 10 cents for each text sent or received. people who use plan b pay $12 per month, and then pay an additional 2 cents for each text sent or received. part a write an inequality to represent the fact that it is cheaper to use plan a than plan b. use x to represent the number of texts they send.

Explanation:

Step1: Express cost of Plan A

Cost of Plan A is \(10x\) cents (since 10 cents per text and \(x\) texts).

Step2: Express cost of Plan B

Cost of Plan B is \(1200 + 2x\) cents (as \(12\) dollars \(= 12\times100=1200\) cents plus 2 cents per text).

Step3: Set up inequality

Since Plan A is cheaper than Plan B, we have \(10x<1200 + 2x\).

Answer:

\(10x<1200 + 2x\)