Question 1 Mathematics uses a variety of symbols and/or formulae. Write down the symbol / formula for: 1.1. Therefore 1.2. Not equal to 1.3. Greater than 1.4. Smaller than or equal 1.5. Is an element of 1.6. Congruent triangles 1.7. Directly proportional to 1.8. Area of a rectangle 1.9. Volume of sphere 1.10. Speed in terms of distance and time.

Certainly! Here's a breakdown of each symbol and formula you've requested: --- **1.1. Therefore** - **Symbol:** ∴ - **Usage Example:** \( A = B \) ∴ \( B = A \) --- **1.2. Not Equal To** - **Symbol:** ≠ - **Usage Example:** \( 5 \neq 3 \) --- **1.3. Greater Than** - **Symbol:** \( > \) - **Usage Example:** \( 7 > 4 \) --- **1.4. Smaller Than or Equal To** - **Symbol:** \( \leq \) - **Usage Example:** \( x \leq 10 \) --- **1.5. Is an Element Of** - **Symbol:** \( \in \) - **Usage Example:** \( a \in A \) *(This reads as "a is an element of set A")* --- **1.6. Congruent Triangles** - **Symbol:** \( \cong \) - **Usage Example:** \( \triangle ABC \cong \triangle DEF \) *(This means triangle ABC is congruent to triangle DEF)* --- **1.7. Directly Proportional To** - **Symbol:** \( \propto \) - **Usage Example:** \( y \propto x \) *(This means y is directly proportional to x)* --- **1.8. Area of a Rectangle** - **Formula:** \( \text{Area} = \text{length} \times \text{width} \) - **Mathematical Representation:** \( A = l \times w \) or \( A = \text{length} \times \text{width} \) --- **1.9. Volume of a Sphere** - **Formula:** \( \text{Volume} = \frac{4}{3} \pi r^3 \) - **Mathematical Representation:** \( V = \frac{4}{3} \pi r^3 \) *(where \( r \) is the radius of the sphere)* --- **1.10. Speed in Terms of Distance and Time** - **Formula:** \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \) - **Mathematical Representation:** \( v = \frac{d}{t} \) *(where \( v \) is speed, \( d \) is distance, and \( t \) is time)* --- Feel free to ask if you need further explanations or additional assistance!