Answer:What you're solving for You are looking for a number that is simultaneously less than \(\text{475}\) and greater than \(\text{350}\). How to solve Represent the given conditions using inequalities and combine them.Step-by-step explanation:Step 1 . Define the variable Let \(x\) be the unknown number. Step 2 . Write the first inequality The number is less than \(\text{475}\): \(x<\text{475}\). Step 3 . Write the second inequality The number is greater than \(\text{350}\): \(x>\text{350}\). Step 4 . Combine the inequalities Combine both conditions into a single inequality: \(\text{350}<x<\text{475}\). Solution The number \(x\) must satisfy the inequality \(\text{350}<x<\text{475}\) so the answer is the number x must satisfy the inequality of 350<x< 475. thats the answer..