1. **State the problem:** Solve the inequality $5 - x \leq 3$ and express the solution in interval notation. 2. **Write the inequality:** $$5 - x \leq 3$$ 3. **Isolate the variable $x$:** Subtract 5 from both sides: $$5 - x - 5 \leq 3 - 5$$ $$-x \leq -2$$ 4. **Divide both sides by $-1$ to solve for $x$:** Remember, dividing or multiplying an inequality by a negative number reverses the inequality sign. $$\frac{-x}{-1} \geq \frac{-2}{-1}$$ $$x \geq 2$$ 5. **Write the solution set in interval notation:** Since $x$ is greater than or equal to 2, the solution is: $$[2, \infty)$$ 6. **Interpret the graph choice:** The correct graph shows a closed bracket at 2 and an arrow pointing to the right (towards infinity). **Final answer:** The solution set is $[2, \infty)$.