Question

4.
solve the inequality x2 - 3x + 2 <0
a X>1 and x<2
b x<1 and x>2
c x>1 and x>2
d x<1 and x2​

Answer 1

Step-by-step explanation:

$\\ \sf {:}\longrightarrow x^2-3x+2\lt 0$

$\\ \sf {:}\longrightarrow x^2-x-2x+2\lt 0$

$\\ \sf {:}\longrightarrow x(x-1)-2(x-1)\lt 0$

$\\ \sf {:}\longrightarrow (x-2)(x-1)\lt 0$

$\\ \sf {:}\longrightarrow( x-2)\lt 0\: and\:(x-1)\lt 0$

$\\ \sf {:}\longrightarrow x\lt 2\:and\:x\lt 1$