Solve the following inequality: $|x-1|+|x-2|+|x-3| \geq 6$

How many points having integer coordinates are there in the feasible region of the inequalities $3x + 4y \leq 12$,$x \geq 0$,and $y \geq 1$?

$A$ manufacturer has $600 \text{ litres}$ of a $12 \%$ solution of acid. How many litres of a $30 \%$ acid solution must be added to it so that the acid content in the resulting mixture will be more than $15 \%$ but less than $18 \%$?

The least integral value $\alpha$ of $x$ such that $\frac{x - 5}{x^2 + 5x - 14} > 0$ satisfies:

Find all pairs of consecutive odd positive integers,both of which are smaller than $18$,such that their sum is more than $20$.

The solution set of the inequation $\frac{x^{2}+6x-7}{|x+4|} < 0$ is