An inequality is like an equal sign. Now you may be asking what is an inequality sign. And inequality sign is less than, greater than, less than or equal to or greater than or equal to. It you have a problem such as 11x> 33.How would you solve this?The answer would be 3>x.
      Now to graph this you need to make a number line. After you draw the number line you need to circle the number. If the equation says for example three is greater than or equal to x. You would need to fill in the circle that is surrounding the number three. You need to fill in the circle because it is showing you that x can be either three or greater than three. If it is not filled in it is telling you that x can't be three it has to be greater than three. 

      We were told to play a game called the Diffy Math Game. It had several boxes each getting smaller. One bow was facing right side up while the one that was inside it was on its side making it look like a diamond  Each corner had a circle around it and had a number. You had to make all of the side add out to the other. 
      You can complete this with many different kinds of numbers . Such as whole numbers, integers  decimals and fractions . The whole numbers are the easiest, the integers are medium and the fractions are the hardest. The whole numbers are easy because they are simple adding with small numbers. The decimals are medium because they aren't as easy as the whole numbers. The hardest was the fractions because You have to find common denominators 

     Did you know that there is an infinite number between 0 and 1? Well there is. You can put an infinite number of decimals to the right  of of the decimal point. For example  you can have 0.22 or 0.3698542174154. it goes on and on. You can use whatever number or amount of number you want. Like you can have a million  two's after the decimal. 
      You can also keep adding zeros after the decimal. For example, say you have the number 3.22 you can add a bunch of zeros after that second two. That will change the  amount of that number. So if you have the number 6.33 and add a zero the number changes in value and the way it is placed on a number line. So each time you add a number after the decimal the value  of the number changes

    In math we just finished up a topic 1. It had to do with positive and negative integers. and we took a test on it . well if you passed the test with a B or better you got to go to Mr. Dorman's room and we got to do this little brain challenge. So what we had to do was we made 4 cubes with random numbers on them (1-4). On one cube it had two 3's and one 4 random stuff like that. And the challenge was to get them in order to have each one different. The challenge was that you had to get each one different on all 3 sides. It was quite difficult.
    It was one of those things that you had to sit there and think about it for a while. Only 3 people figured it out. He eventually gave us a hint but that only made more confusing. he said that we had to do one cube at a time but that didn't seem to help me. the reason that we did this exercise is to help us figure out a strategy to help us get the answer. It was 
     

     When you have a fraction why does the value get bigger when the denomintor gets smaller? Like say you have 1/2 the decimal form of 1/2 is .5  and 1/4 is equal to .25.  Why is that? It is that why because if you have a dollar in quarters 1/4 of that dollar would be 25 cents.The denominator is the number of times you break something up.
     Lets take the number 100 and break it up into 4 pieces and .25 of it is taken away how would you find the answer to how much is left over . To get the answer you need to find out what fraction and  decimal is left. The easiest way is to draw a picture. you can draw a picture of a box with 100 pieces. Then break that up into 4 sections. Next you would make .25 a fraction witch would be 1/4  then you would subtract 1/4 from one whole to get 3/4 left.

    Lets say that you have this problem- 2x+(8)=24. How would you solve this? Most of us would start by subtracting 8 from both sides of the equal sign and then divide by 2. That is what I would do. but what is division? I would say it is the act of breaking a number up into even parts. So to divide this problem you would break up 18 into two pieces. 
     Another way that you can do this is by drawing a picture you would have two different areas and then you would count out how many are in each area after you have gotten to 18. Doesn't that sound very elementary though, drawing a picture and counting out how many are there. what you can do is make them fractions and multiply. In fraction form 18 is 18/1 and 2 is 2/1.If you want to divide fractions you must do the reciprocal of the second number and then multiply.Which means you multiply 18/1 and 1/2. The answer would be 9.