00:01
Given this absolute value expression, abs value of 2x minus a equals b.
00:11
Okay, b is greater than 0.
00:15
There are two situations.
00:17
First scenario is, if 2x is greater than a, then 2x minus a is greater than 0.
00:34
So the absolute value of 2x minus a is itself, which equals b.
00:43
Now let's solve for x for this equation.
00:54
First step, we add a on both sides of the equation.
01:00
And next step, we divide 2.
01:03
So i solve for x equals a plus b over 2.
01:21
So that is the first scenario.
01:29
Now let's look at the second scenario.
01:32
The second scenario is 2x is less than a.
01:38
Okay, if 2x is less than a, then 2x minus a is less than 0.
01:55
So i have abs value of 2x minus a, okay, is the opposite of 2x minus a, which is a minus 2x.
02:10
So abs value of 2x minus a equals b is equal to a minus 2x.
02:22
Equals b...