roster notation | MathCelebrity Forum

# roster notation

1. ### list the natural numbers less than 70 that are divisible by 8

list the natural numbers less than 70 that are divisible by 8 Natural numbers are {1, 2, 3, ... We want natural numbers less than 70 which are divisible by 8: 8 * 1 = 8 8 * 2 = 16 8 * 3 = 24 8 * 4 = 32 8 * 5 = 40 8 * 6 = 48 8 * 7 = 56 8 * 8 = 64 Our answer is: {8, 16, 24, 32, 40, 48, 56, 64}
2. ### A Middleweight UFC fighter weighs between 170 lbs and 185 lbs.

A Middleweight UFC fighter weighs between 170 lbs and 185 lbs. Let w be the UFC fighter's weight: We have a compound inequality. Right side includes 185 lbs. because between means includes 185lbs. Left side includes 170 lbs. because between means includes 17lb0s 170 <= w <= 185
3. ### positive even numbers less than 10

positive even numbers less than 10 First, list out all positive even numbers less than 10. Less than 10 means we do not include 10. {2, 4, 6, 8}
4. ### Roster form of: A = {3x-2/x are integers between 0 and 8}

Roster form of: A = {3x-2/x are integers between 0 and 8} x = 0 = Undefined since we divide by 0 x = 1: 3*1 + 2/1 = 5 x = 2: 3*2 + 2/2 = 7 x = 3: 3*3 + 2/3 = 9.66666666666667 x = 4: 3*4 + 2/4 = 12.5 x = 5: 3*5 + 2/5 = 15.4 x = 6: 3*6 + 2/6 = 18.3333333333333 x = 7: 3*7 + 2/7 = 21.2857142857143...
5. ### Set C is the set of two-digit even numbers greater than 72 that do not contain the digit 8.

Set C is the set of two-digit even numbers greater than 72 that do not contain the digit 8. First, two-digit numbers mean anything less than 100. Let's, list out our two-digit even numbers greater than 72 but less than 100. C = {74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98} The problem...
6. ### M is the set of integers that are greater than or equal to -1 and less than or equal to 2

M is the set of integers that are greater than or equal to -1 and less than or equal to 2 We include -1 on the left, and include 2 on the right M = {-1, 0, 1, 1, 2)
7. ### the set of natural numbers less than 7 that are divisible by 3

the set of natural numbers less than 7 that are divisible by 3 Natural Numbers less than 7 {1, 2, 3, 4, 5, 6} Only 2 of them are divisible by 3. Divisible means the number is divided evenly, with no remainder: {3, 6}