inequalities

The ceiling function of a real number x, denoted by ce(x), is defined as the smallest integer that is greater than or equal to x. Similarly, the floor function, denoted by fl(x), i...

The ceiling function of a real number $x$, denoted by $\operatorname{ce}(x)$, is defined as the smallest integer that is greater than or equal to $x$. Similarly, the floor function...

Consider the following inequalities p² - 4q < 4 3p + 2q < 6 where p and q are positive integers. The value of (p + q) is _________.

Consider the following inequalities 𝑝 2 − 4𝑞 < 4 3𝑝 + 2𝑞 < 6 where 𝑝 and 𝑞 are positive integers. The value of (𝑝 + 𝑞) is _______.

Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x - 1| ≤ 2 and |y + 2| ≤ 3. Let S₂ be the plane figure given by the inequalities x - y ≥ -2, y...