List of top Mathematics Questions on inequalities asked in MET

If \(a<b\), then \(a<\frac{a+b}{2}<\ldots\)

The number of real solutions of the equation \(1 + |e^x - 1| = e^x(e^x - 2)\) is

If the equation \(x^2 + px + q = 0\) and \(x^2 + qx + p = 0\) have a common root then \(p + q + 1\) is equal to

The value of \(a \ge b\) for which the sum of the cubes of the roots of \(x^2 - (a - 2)x + (a - 3) = 0\) assumes the least value, is

If \(3^x + 2^{2x} \ge 5^x\), then the solution set for \(x\) is

The number of integral solution of \(\frac{x + 1}{x^2 + 2}>\frac{1}{4}\) is

Which is the correct order for a given number \(\alpha\) in increasing order?

If \(2^x + 2^y = 2^{x+y}\), then \(\frac{dy}{dx}\) is equal to

The number of positive integral solutions of \(x^2 + 9<(x+3)^2<8x + 25\), is

If a, b, c are three distinct positive real numbers, the number of real roots of $ax²+2b|x|-c=0$ is