3x + 8 is greater than or equal to 4x

Answer 1

To solve the inequality \(3x + 8 \geq 4x\), start by isolating \(x\) on one side. Here are the steps:

1. Subtract \(3x\) from both sides: \[ 8 \geq 4x - 3x \] Which simplifies to: \[ 8 \geq x \] or, equivalently, \[ x \leq 8 \]

So the solution to the inequality \(3x + 8 \geq 4x\) is: \[ x \leq 8 \]

This means that any value of \(x\) that is less than or equal to 8 satisfies the inequality.