SOLUTION: Use the sets to find (DuE)nF Let D​={4​,7​,9​}, E=​{4​,6​,7​,8​}, and F​{3​,5​,6​,7​,9​}

Algebra.Com
Question 1196396: Use the sets to find (DuE)nF
Let D​={4​,7​,9​}, E=​{4​,6​,7​,8​}, and F​{3​,5​,6​,7​,9​}

Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!

Use the sets to find
Let D​={4​,7​,9​}
E=​{4​,6​,7​,8​}
F=​{3​,5​,6​,7​,9​}

first find (D ∪ E) which is defined as the set that consists of all elements belonging to either set D or set E (or both)
so,
(D ∪ E) ={4​,6​,7​,8,9​}

recall: The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B.

in your case A=(D ∪ E) and B= F
so, you have
(D ∪ E) ∩ F={4​,6​,7​,8,9​} ∩ {3​,5​,6​,7​,9​}={6​,7​,9​}



RELATED QUESTIONS

Let U = {a, b, c, d, e, f, g, h, i, j, k, l, m, n}, L = {a, b, c, d, e, f, g} and S = {a, (answered by Edwin McCravy)
If 3^a=4, 4^b=5, 5^c=6, 6^d=7, 7^e=8, 8^f=9, find the value of the product... (answered by Edwin McCravy)
If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = (answered by ikleyn,MathLover1)
4. use the distributive property to rewrite each expression without parentheses. A. 5 (answered by Earlsdon)
trianlge abc is similiar to triangle def. Suppose a=3 b=6,c=7, and d=4 Find E and F?... (answered by solver91311)
triangle ABC is similiar to triangle DEF. Suppose a=3,b=6,c=7 ,and d=4 find e and f.... (answered by solver91311,RAY100)
Let U={1, 2, 3, 4, 5, 6, 7, 8, 9} and A={1}. Find the set Ac a. {2, 3, 4, 5, 6, 7, 8, (answered by stanbon)
1. For the stem-and-leaf plot below, find the range of the data set Stem/ Leaves... (answered by jim_thompson5910)
If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {1,... (answered by greenestamps)