00:01
Whenever i'm given an absolute value inequality, the way i could solve it is similar to an absolute value equation.
00:06
I still have my positive value of my absolute value, and then i have my negative.
00:13
What i do here is just make my entire absolute value negative.
00:17
Another way to do this is to flip the sign and make the other side of my inequality negative.
00:24
But this is the same as having a negative one out here because i could just divide by negative one to both sides, and i just have one -half minus.
00:31
X because i'm divided by a negative number, i flip the inequality.
00:37
Okay, so my goal here is just to get x by itself.
00:40
One way to do this is i could just add x to both sides.
00:44
Totally legal, i can add x and subtract x, but i cannot divide x.
00:49
Subtract two.
00:51
One half minus two.
00:53
This is the same as one half minus four over two.
00:56
This is negative three over two...