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katie's study guide

# katie's study guide - Two different types of intervals o...

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Two different types of intervals o Interval notation Brackets show that number is included Parenthesis show that number is not included EX: [3,12) means that it includes all numbers from three to twelve, including three but not including twelve Number line: o Set-Builder notation Expresses the number interval with greater than and less than signs EX: [3,12) is written in Interval notation showing numbers greater than or equal to three, but less than twelve, to write in set-builder 3≤x<12 The bar under the first less than sign means less than or equal to When given an equation like : (-5,3) U [-1,8) o The U means that you list all of the numbers in EITHER interval, so all numbers from -5 to three and from -1 to 8, with -1 included because of the bracket o Answer would be the lowest number to the highest, or (-5,8) If equation was (-5,3) [-1,8) (with upside down U) o Graph both o -5( ) 3 o -1[ ) 8 o Notice how they overlap between [-1,3), that’s your answer If given equations such as 4x + 11 <27 o Just solve it algebraically : 4x + 11 -11 < 27 -11

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katie's study guide - Two different types of intervals o...

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