Given U = {a, b,c, d,e, f,g, h,i, j}, A = {a, c,e, f} and B = {a, d,e, f,g, i,j} and C = {b, c,h} find: i) A ∩ B =

ii) B C =

iii) B∪C =

iv) A’ =

v) A’ ∩ B’ =

vi) (B U C)’ =

vii) (A B) U (B C) =

2) Shade in the Venn Diagram below.

i am unable to solve this problem

step-by-step explanation:

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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step-by-step explanation: