For the first graph there is an imaginary line at the vertical lines x=3 and x=5 and everywhere between is the region that is important because x is between 3 and 5. For the second graph the function is y=x or f(x)=x (same thing) and since it says that x can only be between 3 and 5, I just graphed that line only on the range where x is on those values. Now, to be correct, for the second graph I should have used open dots at x=3 and x=5 on the second graph. By having a dot on the end of each end of this line, it states that x does not touch these points. Remember x is greater than 3 but can't be equal to 3 for this case. Which is what an open dot means. If the problem had a greater-than-or-equal-to sign then a closed dot is ok. But it's important to note that we no longer have a 'line' because it doesn't continue forever so you don't want arrows at each end and instead you want a dot or in this case an open circle.
Inequalities are important. I had to do a physics lab the other day where I was measuring the position of a mass attached to a spring that was oscillating at different times. I then compared my data by calculating the theoretical value using x(t) =Acos(wt) and used an inequality for time such as 2<t<5 because my teacher was only interested at the mass's position at a certain time so I had to graph just the parts where the time was between 2 and 5 seconds.
I'm not a boss lol I'm just good at math or at least better at math than other subjects. I've been in school a long time so that has lead to most of my understandings but I still have maybe 7-11 more years to go depending on which type of degree I intend to get
Yea it is not hard at all. I have good experience with inequalities because most math classes after algebra still use inequalities. It's one of those things that if you don't understand it the first time, you will eventually learn it in your later math class because it keeps coming back.
Math being my major, I felt bad not being able to do the homework last night "Shoot! I cant figure out even the first problem I bet everyone else can do this and done already" I spent and hour on it trying to figure out what to do... this morning, NO ONE understood it so I had extension to when due!
The picture didn't send And Dan I hope you aren't talking about differential equations cause I'm taking that one next semester
OH I SHALL LOVE IT. In freaking Integers, we were subtracting and adding, and I did a subtraction problem and my face: what the hell-