L1 Mathematical Reasoning
Question Bank
Solve the inequality $\displaystyle \frac{2x-1}{3} > \frac{x+2}{2}$.
Solve the inequality $4(3-x) \ge 8(x-3)$.
Solve the inequality $5^{2x-1} > 125$.
What values of $x$ satisfy the inequality $7^{3x} \times 7^{x-1} \ge 49$.
Solve the inequality $\frac{x-4}{2} \le \frac{3x-1}{5}$.
Solve the inequality $2(x-5) > 5(x-2)$.
Solve the inequality $x - \frac{x+1}{3} < 4$.
The daily profit, $P$, from selling $n$ gourmet burgers is modelled by the equation $P = -n^2 + 100n - 900$.
For what range of daily burger sales will the business make a profit?
For what values of x is $(x+1)^2 < (x-3)(x+4)$?
Find the values of x for which $(2x+1)(x-3) \le (x+1)(2x-3)$.
Solve the inequality $x^2 > x+6$.
For what values of $x$ is $(2x-1)(x+1) \le 2-4x$?
Solve the inequality $2(x+1)+3x > 3x^2$.
Solve the inequality $(2x-1)^2 \le 16$.
Solve the inequality $3x^2 + 7x - 6 < 0$.
Find the values of x for which $(\frac{1}{3})^{x+4} \le (\frac{1}{9})^{x}$.
Solve the inequality $3^{x^2-5x} < 3^{-6}$.
Find the values of x that satisfy the inequality $4^{x^2} \le 8^{x+3}$.