מתמטיקה תיכונית/פתרונות לספרים/מתמטיקה (5 יחידות לימוד) חלק ו' שאלון 035006/עמוד 74 סעיף 36

$\ |2-2x|<4<|4x-6|$
$\color {blue}4<|4x-6|$			$\ and$	$\color {red}|2-2x|<4$
${\begin{aligned}&\color {SkyBlue}4x-6<-4\\&\color {SkyBlue}4x<2\\&\color {SkyBlue}x<{\frac {1}{2}}\\\end{aligned}}$	$\ ;$	${\begin{aligned}&\color {NavyBlue}4<4x-6\\&\color {NavyBlue}10<4x\\&\color {NavyBlue}x>2{\frac {1}{2}}\\\end{aligned}}$		$\color {Red}-4<2-2x<4$
$\color {blue}x>2{\frac {1}{2}};x<{\frac {1}{2}}$				${\begin{aligned}&\color {OrangeRed}-4<2-2x\\&\color {OrangeRed}-6<-2x\\&\color {OrangeRed}x<3\\\end{aligned}}$	$\ and$	${\begin{aligned}&\color {BrickRed}2-2x<4\\&\color {BrickRed}-2x<2\\&\color {BrickRed}x>-1\\\end{aligned}}$
				$\color {red}-1<x<3$
$\ -1<x<{\frac {1}{2}};2{\frac {1}{2}}<x<3$