How to solve an inequality in interval notatiobn?
Okay, first do 1/2 + 2/3. This is the same thing as 3/6 + 4/6 = 7/6.
You now have 7/6 > x/6. Multiply both sides by six to isolate x. This gives (7/6)*6 . (x/6)*6, or 7 > x.
To use interval notation, there are several types of brackets.
( ) mean "not including". You would use these when you have "more than" or "less than".
[ ] mean "including". You would use these when you have "more than or equal to" or, "less than or equal to".
You put the numbers inside the brackets separated by a comma. The number on the left will be the lowest number you can have for x, and the number on the right will be the highest.
Since x here is less than seven, that means the numbers that work for x can be anywhere from negative infinity to seven (including seven). So we have:
(-infinity, 7]
Whenever you have positive or negative infinity, use ( ), not [ ], because you can never actually get to infinity, you can only approach it.
Also, denote infinity as an 8 turned on its side.
I hope this helps.
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