Question

PLEASE BRO I NEED HELP ASAP LOL. IM A TUTOR MYSELF BUT FOR LOWER GRADES AND IM STRUGGLING LOL

Answer 1

we have

A{1,3,7,9,10}

B{2,5,7,8,10}

C{1,3,7,8,9,10}

part 1

AUB={1,3,7,9,10} U{2,5,7,8,10}={1,2,3,5,7,8,9,10}

A∩B={1,3,7,9,10}∩{2,5,7,8,10}={7,10}

AUC={1,3,7,9,10} U {1,3,7,8,9,10}={1,3,7,8,9,10}

Part 2

X{1,3,7,9,10}

Y{2,5,7,8,10}

Z{0,1,3,10}

XUY={1,3,7,9,10} U {2,5,7,8,10}={1,2,3,5,7,8,9,10}

XUY ∩ Z={1,2,3,5,7,8,9,10} ∩ {0,1,3,10}={1,3,10}

Step-by-step explanation

we have

XUY ∩ Z

but remember that

XUY={1,3,7,9,10} U {2,5,7,8,10}={1,2,3,5,7,8,9,10}

so

XUY ∩ Z={1,2,3,5,7,8,9,10} ∩ Z={1,2,3,5,7,8,9,10} ∩ {0,1,3,10}

and

{1,2,3,5,7,8,9,10} ∩ {0,1,3,10}={1,3,10}