Question 568933: If I have the inequality: (2 is greater than or equal to X) , would that inequality be expressed with a closed dot on the two, and an arrow pointing to the left, or a closed dot on the two, and an arrow pointing to the right?
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! What you are trying to do with this problem is to show with dots and arrows the region on the number line where X is allowed to be.
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For this problem, it may help to reword the inequality. Instead of saying "2 is greater than or equal to X" you can reword it to say the same thing by saying "X is less than or equal to 2." That might make it a little clearer that X can have any value on the number line from 2 and to the left of 2. X can take values of +2, +1, 0, -1, -100, -9,999, and so on, all of which say X is less than (or equal to) 2. And maybe that will also help you to see that 2 is the greatest positive value that X can have. For example, X cannot be 3 because 2 is not greater than 3 and the problem says that 2 is greater than X.
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Maybe this analysis will help you to see that your first answer is the correct one. Put a closed dot on the 2 and show the arrow pointing to the left where X is allowed to be.
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I hope this helps you to understand the problem a little better. You had the right idea, but I suspect that the wording used in the problem was just a little confusing to you. Good job, and good luck with your math studies.
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