Question

Write the set in roster form

The set of all integers 'x' such that | x minus 3 | <8

Answer 1

the roaster method is defined as a way to show the elements of a set by listing the elements inside the brackets
the given condition is |x-3| < 8
lets take the number -5,
therefore |-5-3| =|-8|=8 which does not satisfy the condition, also the number below -5 does not satisfy the condition ie -6,-7,-8......
now take 11,
|11-3|=8 which does not satisfy the given condition, also the number above 11 does not satisfy the condition ie 12,13,14........
therefore the numbers are -4 to 10
therefore in roaster form we can write it as
set ={-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10}