The number of integral values of $x$ satisfying $5x - 1 < (x + 1)^2 < 7x - 3$ is

The solution set of the constraints $|x-y| \leqslant 1, x, y \geqslant 0$ is

The inequality $\frac{x-1}{3x+4} < \frac{x-3}{3x-2}$ holds for all $x$ in the interval:

Find all pairs of consecutive odd positive integers,both of which are smaller than $10$,such that their sum is more than $11$.

The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between $8.2$ and $8.5$. If the first two pH readings are $8.48$ and $8.35$,then find the range of $pH$ value for the third reading that will result in the acidity level being normal.

$A$ triangle is formed by the $X$-axis,$Y$-axis,and the line $3x + 4y = 60$. The number of points $P(a, b)$ which lie strictly inside the triangle,where $a$ is an integer and $b$ is a multiple of $a$,is $...........$