Every day, katie looks for seashells on the beach. she has 282828 shells in her collection. katie finds 121212 more shells each day. write an inequality to determine the number of days, ddd, it will take katie to collect over 100100100 shells.

Assuming you didn't mean to repeat the numbers, over 6 days.

Because, you subtract 28 from 100 then divide that by 12 which would give you 6. so, X>6

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18