Question

List the elements of the set C = {x: x is a positive integer, 3x < 5 or 5 < x is less than or equal to 8} and T = {x: x is a positive integer, 4 < 3x less than or equal to 24}. Find an element x such that x is belong to C and x is not belong to T.

Answer 1

"5 < x is less than or equal to 8" this does not make sense

Answer 2

oh
5<x<=8?

Answer 3

@Amberley ?

Answer 4

C = {x: (x is positive integer) ^ ((x<5)v(5<x<=8))} ?

Answer 5

\[5 < x \le 8\]

Answer 6

From the first inequality x < 5/3 but since x has to be a positive integer only x=1 will fit the bill. Or ( from the second criteria ) x must be 6, 7 or 8. Thus the elements in C are {1, 6, 7, 8}. If you just plug these values into the criteria for an element to be in T you'll find that 6, 7 and 8 work fine but 1 doesn't since 4 < 3x isn't true when x =1. HTH