We solve the inequality step by step:

Given inequality:

$-10 + 3x \geq -4$

Step 1: Add 10 to both sides

$-10 + 3x + 10 \geq -4 + 10$

$3x \geq 6$

Step 2: Divide both sides by 3

$\frac{3x}{3} \geq \frac{6}{3}$

$x \geq 2$

Final Answer:

$x \geq 2$

This means the solution set is all values of $x$ greater than or equal to 2.

Would you like a graph or more explanation?

Related Questions:

1. How do you graph the solution $x \geq 2$ on a number line?
2. What happens if we reverse the inequality sign in the original problem?
3. How would the solution change if the inequality was $-10 + 3x > -4$?
4. Can you explain how inequalities differ from equations in solving?
5. What real-world problems can be modeled using inequalities like this?

Tip:

When solving inequalities, if you multiply or divide by a negative number, always flip the inequality sign!