Question

U is the set of letters of the English alphabet. X is the set of letters in the word 'triangle'. Y is the set of letters in the word 'trapezoid'. Z is the set of letters in the word 'hyperbola'. What is (Y ∩ Z)’ ∩ X? *

Answer 1

Answer:

(Y∩Z)∩X = {r,a,e}

Step-by-step explanation:

U = {a,b,c,d,e,f,............,z)

X = { t,r,i,a,n,g,l,e}

Y = {t,r,a,p,e,z,o,i,d}

Z = {h,y,p,e,r,b,o,l,a}

Firstly,

Y∩Z = {t,r,a,p,e,z,o,i,d} ∩  {h,y,p,e,r,b,o,l,a}    [Intersection : Common Elements]

=> Y∩Z = {r,a,p,e,o}

Now,

(Y∩Z)∩X =  {r,a,p,e,o} ∩ { t,r,i,a,n,g,l,e}

=> (Y∩Z)∩X = {r,a,e}