CAT Inequalities & Modulus questions (2024–2025) — actual Quant questions with solutions

For real values of x, the range of the function f(x) = (2x − 3)/(2x² + 4x − 6)

The set of all real values of x for which (x² − |x + 9| + x) > 0, is

Let 3 ≤ x ≤ 6 and [x²] = ([x])², where [x] is the greatest integer not exceeding x. If S represents all feasible values of x, then a possible subset of S is

Vedic Patterns G Strategy | Inequality | EASY | CAT 2025 Slot 1

The number of distinct pairs of integers (x, y) satisfying the inequalities x > y ≥ 3 and x + y < 14 is ____.

In the XY-plane, the area, in sq. units, of the region defined by the inequalities \( y \geq x + 4 \) and \( -4 \leq x^2 + y^2 + 4(x - y) \leq 0 \) is:

All values of x satisfying the inequality 1/(x+5) ≤ 1/(2x−3) are:

If x and y satisfy |x| + x + y = 15 and x + |y| − y = 20, then x − y equals:

The number of distinct real values of x, satisfying the equation max{x, 2} − min{x, 2} = |x + 2| − |x − 2| is:

The number of distinct integer solutions (x, y) of the equation |x + y| + |x − y| = 2 is: