1. Solve the inequality $3 - 2x < 9$. Step 1: Subtract 3 from both sides: $$3 - 2x - 3 < 9 - 3$$ $$-2x < 6$$ Step 2: Divide both sides by $-2$. Remember, dividing by a negative number reverses the inequality sign: $$x > \frac{6}{-2}$$ $$x > -3$$ Answer: $x > -3$ which corresponds to option D. 2. Identify the rule to calculate length $x$ in triangle $ABC$ with angles $\theta$ at $A$, $\phi$ at $C$, and side $AC$ given, where the triangle is not right-angled. Step 1: Since the triangle is not right-angled, Pythagoras theorem does not apply. Step 2: The distance formula is for coordinate geometry, not triangle side lengths from angles. Step 3: The cosine rule is used when two sides and included angle or three sides are known. Step 4: The sine rule relates sides and their opposite angles and is used when two angles and one side are known. Step 5: Given angles $\theta$ and $\phi$ and side $AC$, the sine rule is appropriate to find side $x$ opposite angle $\phi$. Answer: Sine rule, option A. 3. Determine which graph best describes $y = x^3 + 3$. Step 1: The function $y = x^3 + 3$ is a cubic function shifted up by 3 units. Step 2: Cubic functions have an inflection point and pass from bottom-left to top-right. Step 3: The graph crosses the y-axis at $y=3$ (when $x=0$). Step 4: Graph A matches this description: curve passes from bottom-left to top-right with an inflection point near the origin and shifted up. Answer: Graph A.