Question

Let U- -10, -4, -3, 2, 5, 6, 9, 12, 16, 20), A write NONE.) -10,-3, 5, 9, 16), B (-4, 2, 6, 12, 20 and C (-10, -4, 2, 5, 12, 16). Find each set. (List in order from least to greatest, separated by a comma. If the empty set is a solution, (a) Cn c NONE (b) (AC)e 4-1,2,8,11,13, X (c) A u (B C) 8-4-1,23,11, X h Need Help?Read ItWtch T Talk to a Tuter 12. V2 points | Previous Answors TanFinB 6.1.084. My Notes Aak Your Teacher Refer to the figure below and find the points that belong to each set. (List in alphabetical order, separated by commas. If the empty set is a solution, write NONE.) (b) (AUBuc) Need Help?Read ItWatch Talk to Tuter Submit Answer Save Progress

Answer 1

11)

U = {-10,-4,-3,2,5,6,9,12,16,20}

B = {-4,2,6,12,20}

C = {-10,-4,2,5,12,16}
A = {-10,-3,5,9,16}

a) (C $\cap$ C^c) = null

as C^c = U - C

b)Thus, (A $\cap$ C) = {-10,-3,5,9,16} $\cap$ {-10,-4,2,5,12,16}
Thus, (A $\cap$ C) = {-10,5,16}

Thus, (A $\cap$ C)^c = U - (A $\cap$ C)

Thus,(A $\cap$ C)^c = {-4,-3,2,6,9,12,20}

c) (B $\cap$C) =  {-4,2,6,12,20} $\cap${-10,-4,2,5,12,16}

Thus, (B $\cap$C) = {-4,2,12}

Thus, A $\cup$ (B $\cap$C) = {-10,-3,5,9,16} $\cup$ {-4,2,12}

A $\cup$ (B $\cap$ C) = {-10,-4,-3,2,5,9,12,16}