Solve. \( 3 x-5<19 \)

To solve the inequality \( 3x - 5 < 19 \), you start by isolating \( x \). First, add 5 to both sides: \( 3x < 24 \) Next, divide both sides by 3: \( x < 8 \) So the solution means that any value of \( x \) that is less than 8 satisfies the inequality! You can express this in interval notation as \( (-\infty, 8) \). Happy solving! For a little extra context, this type of linear inequality can be used in real-world scenarios, such as determining the maximum number of items you can produce to remain within budget constraints. Think about it: if each product costs $5 and you want to keep expenses below $19, this inequality helps you figure out just how many you can make without breaking the bank!