IPMAT Indore Algebra > Inequalities PYQs

The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is

The set of all real values of x satisfying the inequality $\dfrac{x^2(x+1)}{(x-1)(2x+1)^3} > 0$ is

Consider the following statements: <br>(i) When $(0 < x < 1)$, then $(\frac{1}{1+x} < 1 - x + x^2)$ <br>(ii) When $(0 < x < 1)$, then $(\frac{1}{1+x} > 1 - x + x^2)$ <br>(iii) When $(-1 < x < 0)$, then $(\frac{1}{1+x} < 1 - x + x^2)$ <br>(iv) When $(-1 < x < 0)$, then $(\frac{1}{1+x} > 1 - x + x^2)$ <br>Then the correct statements are:

If $x ∈ (a, b)$ satisfies the inequality $\dfrac{x - 3}{x^2 + 3x + 2} \geq 1$, then the largest possible value of $b - a$ is

The set of values of $x$ which satisfy the inequality $0.7^{(2x^2 - 3x + 4)} < 0.343$ is