Question

Find out the truth sets of the following open sentences replacement sets are given against them.
$3x^2<2x;\{-4,-3,-2,-1,0,1,2,3,4\}$

Answer 1

${3x}^2<2x$

$⟹{3x}^2-2x<0$

$⟹x(3x-2)<0$

$⟹x>0$ or $(3x-2)<0,$ $x\frac{2}{3}.$

Hence $x\in \left\{\varphi \right\}.$