Answer:
~(AuB) = ~A intersect ~B
{7,8} = {7,8}
Step-by-step explanation:
I. When ~ compliment means NOT or minus and universe is {1,2,3,... 8}
Find A union B and not A intersect not B
~(AuB) = ~A intersect ~B
~(1,2,3,4,5) = ~(2,4,5) intersect ~(1,2,3,5)
{1,2,3,4,5,6,7,8} - (1,2,3,4,5) = {1,2,3,4,5,6,7,8} - ~(2,4,6)
{7,8} = {1,3,5,7,8} - ~(1,3,5)
{7,8} = {7,8}
That makes ~(AuB) = ~A intersect ~B is true
Hope that help :)
