Let U=1,2,3,4,5,6,7,8,9,10
{x|x is multiply of 2} U {x is multiply of 7}
Translating in English,
you have defined a universal set of integers from one to ten.
Then you defined sets (presumably belong to the universal set) which combine ("unioned") to form a new set.
The first, {x|x is multiple of 2} means the set of even numbers between 1 and 10, namely {2,4,6,8,10} and the second is
{x|x is multiple of 7} which consists of only one element (between 1 and 10), namely {7}.
The union of these two sets give
{2,4,6,7,8,10}.
MathMate,
I want to thank you so much in how you explained it. Thank you again and have a nice evening
To find the set of numbers that are multiples of 2 and multiples of 7, we need to find the intersection of the two sets - the set of multiples of 2 and the set of multiples of 7.
The set of multiples of 2 can be represented as: {2, 4, 6, 8, 10, ...}
The set of multiples of 7 can be represented as: {7, 14, 21, 28, 35, ...}
To find the intersection, we need to determine the common elements in both sets. In this case, there are no common elements because there are no numbers that are multiples of both 2 and 7 in the given range of U=1,2,3,4,5,6,7,8,9,10.
Therefore, the set of numbers that are multiples of 2 and multiples of 7 in the given range U=1,2,3,4,5,6,7,8,9,10 is an empty set: {}.