Solve the following inequality: \( 3 x-8>7 \)

To solve the inequality \( 3x - 8 > 7 \), first, you can isolate \( x \) by adding 8 to both sides: \[ 3x - 8 + 8 > 7 + 8 \] \[ 3x > 15 \] Next, divide both sides by 3: \[ x > 5 \] So, the solution to the inequality is \( x > 5 \). Now, think of a number larger than 5, say 6 or 10. They satisfy the inequality, while a number like 4 does not! Keep in mind the values of \( x \) that make the inequality valid, ensuring you understand the concepts of boundaries and number lines when working with inequalities in future problems.