i.e it includes 2 as well since the bracket after 2 is a closed one. hence it is not the correct answer.2.22x + 6 =>2x = > 2x =>x therfore the correct interval is Option D: x (-INFINITY, 1) since it contains all negative integers and 0 but not 1.......
understand the concept of negative and positive integers/numbers and the concept of open and closed brackets and apply them in each case.
1.1. x<2
it refers to all number less than 2. note that x must be less than 2 and can not be equal to 2.
hence the correct interval would include all negative numbers and 0 and 1.
therefore correct interval is option A (-INFINITY, 2) .
see that option D is (-INFINITY, 2] , i.e it includes 2 as well since the bracket after 2 is a closed one. hence it is not the correct answer.
2.2
2x + 6 < 8
=> 2x < 8 - 6
= > 2x < 2
=> x < 1
therfore the correct interval is Option D: x (-INFINITY, 1) since it contains all negative integers and 0 but not 1.
i do not have much time to type all the answers but i hope the above explanation is enough to solve other questions.
if not, ask your teacher to clear these concepts...they are very easy.
Even though i have my own homework to do, i would rather help someone i don't know cause i procrastinate harder than you could ever imagine.
You probably already know that the < sign means less than and > means greater than. You also probably know that if there is an line under the < or >, it adds or equal to at the end.
1. x < 2
this is another way of saying anything less than two, because x is a letter, or variable, which means any number, so it is anything less than 2.
Option A: x (-INFINITY, 2)
Option B: x (2, INFINITY)
Option C: x [2, INFINITY)
Option D: x (-INFINITY, 2]
What you don't understand is probably what the answers actually mean.
infinity is really just a variable, or any number. If there is a - sign in front of infinity, it means any negative number. The answers are also separated by a comma, which might as well mean and. So Option A for number one would mean all negative numbers and two, which sort of makes sense, but it should be -Infinity and like numbers 0-2 or something, maybe it does somehow, I'm not sure. But what makes no sense is that D would be correct as well. The ( and [ sign around the answers must mean something then. I would recommend going in to school as early as you can if you don't take bus, and if you take bus maybe get a parent to drive you a little early or try to get to class early, because this happens to me a lot and if i go to my teacher before class or in the morning they are usually glad to help and happy to know that I am trying to get good grades and care about the class. You should probably just say i sorta drifted off in class and i am really struggling with this. You should ask about what the ( and [ signs mean and maybe get clarification on what i attempted to tell you. Sorry i can't really help:(
