how do i express the set C={x/x+6=10} in roster form
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
what is the solution to x+6 = 10
OpenStudy (anonymous):
it has to be in roster form
jimthompson5910 (jim_thompson5910):
yes I know, but what is the solution to x+6 = 10
OpenStudy (anonymous):
not sure i forgot
jimthompson5910 (jim_thompson5910):
x is some number
x+6 = 10
is like saying "some number plus 6 equals 10"
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
what goes in place of "some number"
OpenStudy (anonymous):
would it be 4?
jimthompson5910 (jim_thompson5910):
correct
jimthompson5910 (jim_thompson5910):
so x = 4
jimthompson5910 (jim_thompson5910):
that means that
C = {x | x+6 = 10}
is really the same as
C = { 4 }
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
oh ok so how wold i write that in roster form
jimthompson5910 (jim_thompson5910):
it's already in roster form
jimthompson5910 (jim_thompson5910):
C = { 4 } is in roster form
jimthompson5910 (jim_thompson5910):
there is only one element in this set because there is only one solution to x+6 = 10
OpenStudy (anonymous):
so would it be {1,2,3,4,510} or no
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
yes something like that...BUT...the numbers: 1, 2, 3, 5, 10 do NOT satisfy x+6 =10
only 4 does
jimthompson5910 (jim_thompson5910):
that's why the answer is simply { 4 }
jimthompson5910 (jim_thompson5910):
that's what C = {x | x+6 = 10} means
C = {x | x+6 = 10} means "the set of all numbers x such that x+6 = 10"
only x = 4 fits this requirement, so that's why the answer is C = { 4 }