מתמטיקה תיכונית/פתרונות לספרים/מתמטיקה (5 יחידות לימוד) חלק ו' שאלון 035006/עמוד 74 סעיף 31

$\ 10\leq |5x-10|\leq 15$
$\color {blue}10\leq |5x-10|$			$\ and$	$\color {red}|5x-10|\leq 15$
${\begin{aligned}&\color {SkyBlue}10\leq 5x-10\\&\color {SkyBlue}20\leq 5x\\&\color {SkyBlue}4\leq x\\\end{aligned}}$	$\ ;$	${\begin{aligned}&\color {NavyBlue}5x-10\leq -10\\&\color {NavyBlue}5x\leq 0\\&\color {NavyBlue}x\leq 0\\\end{aligned}}$		$\color {Red}-15\leq 5x-10\leq 15$
$\color {blue}x\leq 0;x\geq 4$				${\begin{aligned}&\color {OrangeRed}-15\leq 5x-10\\&\color {OrangeRed}-5\leq 5x\\&\color {OrangeRed}-1\leq x\\\end{aligned}}$	$\ and$	${\begin{aligned}&\color {BrickRed}5x-10<15\\&\color {BrickRed}5x<25\\&\color {BrickRed}x<5\\\end{aligned}}$
				$\color {red}-1<x<5$
$\ -1<x<0;4<x<5$