To solve the inequality \( 9 - 3x \geq 0 \), follow these steps:
Start by isolating \( x \): \[ 9 - 3x \geq 0 \]
Subtract 9 from both sides: \[ -3x \geq -9 \]
Now, divide both sides by \(-3\). Remember that when you divide or multiply both sides of an inequality by a negative number, you need to flip the inequality sign: \[ x \leq 3 \]
So the solution to the inequality \( 9 - 3x \geq 0 \) is: \[ x \leq 3 \]
This means that any value of \( x \) that is less than or equal to 3 will satisfy the inequality.