Question 2
i. Solve the simultaneous inequalities, $x \lt \frac{1}{4x}$ and $x \lt 0$; i.e., find a single inequality equivalent to the two given simultaneous inequalities.
ii. What is the greatest integer which satisfies both inequalities $4x + 13 \lt 0$ and $x^2 + 3x \gt 16$?
iii. Give a rational number between $\frac{11}{24}$ and $\frac{6}{13}$.
iv. Express $100000$ as a product of two integers neither of which is an integral multiple of $10$.
v. Without the use of logarithm tables evaluate
$$
\frac{1}{\log_{2} 36} + \frac{1}{\log_{3} 36}
$$
ii. What is the greatest integer which satisfies both inequalities $4x + 13 \lt 0$ and $x^2 + 3x \gt 16$?
iii. Give a rational number between $\frac{11}{24}$ and $\frac{6}{13}$.
iv. Express $100000$ as a product of two integers neither of which is an integral multiple of $10$.
v. Without the use of logarithm tables evaluate
$$
\frac{1}{\log_{2} 36} + \frac{1}{\log_{3} 36}
$$