The set E, F and G are defined as E=(odd numbers less than 13), F= ( multiples of 3 less than 15 and G=(multiples of 5 less than 20 Find E intersect G n(F union G ) (E intersect F) union G
Mathematics
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3 partsStep-by-step solution
5 stepsHere's the breakdown of the sets and their operations:
Step 1: Define the elements of sets E, F, and G.
- Set E: Odd numbers less than 13.
- Set F: Multiples of 3 less than 15.
- Set G: Multiples of 5 less than 20.
Part a· 1 step
Find E intersect G
Identify elements common to both E and G.
The only common element is 5.
Part b
Find n(F union G)
Find the union of sets F and G.
Combine all unique elements from F and G.
Count the number of elements in F union G.
There are 7 elements in .
Part c
Find (E intersect F) union G
Find the intersection of sets E and F.
The common elements are 3 and 9.
Find the union of (E intersect F) and G.
Combine all unique elements from and .
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