1. **Problem:** Solve the inequality $$4 - x \leq 10$$ and graph the solution. 2. **Formula and rules:** To solve inequalities, isolate the variable on one side. Remember, when multiplying or dividing by a negative number, reverse the inequality sign. 3. **Step-by-step solution:** $$4 - x \leq 10$$ Subtract 4 from both sides: $$-x \leq 6$$ Multiply both sides by $$-1$$ (reverse inequality): $$x \geq -6$$ 4. **Interpretation:** The solution is all $$x$$ values greater than or equal to $$-6$$. 5. **Graph:** On a number line, shade all values from $$-6$$ to $$\infty$$ including $$-6$$ (closed circle). Final answer: $$x \geq -6$$