Good try sasflower but you have made a couple of little mistakes. I'll give you thumbs up for your good effort :)
$$\\-2|h-2|\ge2\\\\
$Divide both sides by -2 but remember that when you divide or multiply by a negative number you must turn the inequality around$\\\\
|h-2|\le1\\\\
-1\le h-2\le1\\\\
1\le h \le 3$$
2 l h-2 l > -2
first divide by 2 on both sides
l h-2 l > -2
now seperate it into 2 inequalities
h-2 > -2 h-2 < .....
this absolute value inequality cannot seperate into 2 inequalities so the answer is
no solution
Good try sasflower but you have made a couple of little mistakes. I'll give you thumbs up for your good effort :)
$$\\-2|h-2|\ge2\\\\
$Divide both sides by -2 but remember that when you divide or multiply by a negative number you must turn the inequality around$\\\\
|h-2|\le1\\\\
-1\le h-2\le1\\\\
1\le h \le 3$$