All right. So if you try solve the absolute value, all the absolute value of three X is greater than 12. What you're gonna do is we're gonna take a value inside that circle. You the three acts, drop the absolute value, and you're gonna set that equal to possibilities. So it's one possibility is that three X is a positive value, right? People too, are riskier than a positive value. So you sleep. This is a positive 12. So if it's a positive just gonna be exactly what the relationship already is as it already exists, so three x s period than 12. The other possibility is that theon positive what's actually there? So we could say that three X is not greater than but because it's the opposite. We're going to do the opposite and all the end, the opposite of the value. So is the relation. Three X is less than the opposite of 12 which is negative. So here your two possibilities, we solve them just like we always saw the nanite Pahlavi. So how do you undo times by three Divided by three both sides. We get X is greater than four and the other one on New Times by three. Divide by three books. Signs ending in X is less than negative for so the two possibilities here the excess career than for an excess. Also less than negative for so on a number line appear weaken. Graph it. So we can say that X has to be greater than four unless the negative for So let's just put a negative for here. And this could count by force here basically, so we every had the lines going for value. So we're gonna see that. That's what forces zero, and that's one of the four that's positive. Okay, so it's access greater than four doesn't include, for that's all that used greater than for an excess less than negative for So it doesn't include for, But it's all night used that are less than listen negative forces. So here's your answer Exes, all things that are less than they get it for. And also all things that are greater than positive for that makes sense, because if you put a negative five in there, you're gonna get a true statement right three times, and I get If I wasn't, I get 15 negative 15 absolute values. Positive team, which was better than 12. Right, So it works now. How did write this sanitation for this You'd write? Basically, this situation acts. This is a set of all X is such that. And then you'd write X is basically going to be between, so we'll split the excellent middle. Um, exes. So the sanitation we had the set of all X such that X is greater than four or exes less than negative. For if you were doing the interval notation, what you're gonna do is you're gonna ask yourself, uh, what's the smallest and largest OK value. So we're looking at this left hand side here because either the smallest value is negative Infinity. So I get in on Saturday, and that means that it's gonna be a open fronts. Easier bracket will be closed like has a defendant went the open parentheses basically means that it has no defended important because affinities don't have any differently than when you guys go further torture infinity and negative or positive. So it's gonna be negative, Henry, with the breath sees on the left hand side, that's the smallest. And then the largest is gonna be negative for right so comma I get it for and it doesn't include negative four. So you putting up in practice sees this ball right. That's just not including the negative for. And then you would put a little you here, that's like basically, Or And then you do the other one and the other one is that the smallest value is perhaps used. That doesn't include for but for and then comma was the largest value, and this would be positive, right? So that's awesome. Repo pregnancies guys, if any counter to be a little bigger and you never know where that definitively ends, So this would be your interval notation to be your sanitation.