List of top Mathematics Questions on Inequalities asked in AP EAPCET

The interval containing all the solutions of the inequality \[ \sqrt{x^2-12x+48}\lt 2x+3 \] only is

The number of integers that satisfy both the inequalities \[ x^2-2x+8>0 \] and \[ x^2-3x+2\le 0 \] is:

If \(a\), \(b\), \(c\) are distinct positive real numbers and \[ a^2+b^2+c^2=1, \] then the value of \(ab+bc+ca\) is