It looks like you've uploaded an image of a math assignment. I will interpret the equations from the image and help you solve them. The image seems to show inequalities, so let's go through them one by one.

Question 7:

Solve the system of equations: $\sqrt{3x - 9} \geq \sqrt{6 - x}$ Solution steps:

1. Isolate the square roots on both sides: $3x - 9 \geq 6 - x$
2. Solve the inequality: $3x + x \geq 6 + 9$ $4x \geq 15 \quad \Rightarrow \quad x \geq \frac{15}{4}$ Now find the solution for $x$ that satisfies both sides.

Would you like me to continue solving the rest of the questions? Feel free to ask for details or clarification.

Here are five related questions to deepen your understanding:

1. What is the general process for solving inequalities involving square roots?
2. How can you check if a solution works in both inequalities of a system?
3. What are the conditions for taking the square of both sides in inequalities?
4. How do you graph the solutions to inequality systems on a number line?
5. Can inequalities involving square roots have no solution? If yes, under what circumstances?

Tip:

Always verify solutions in inequalities by plugging them back into the original equation, especially when dealing with square roots or absolute values.