Question #46909

Let U = {a,b,c,d,e,f,g}, X={a,c,e,g}, Y={a,b,c}, and Z={b,c,d,e,f}
1.2.1 Find Y n Z (3 Marks)
1.2.2 Find A U B (6 Marks)
1.2.3 Find X – Y (5 Marks)
1.2.4 Find X x Y

Expert's answer

Answer on Question #46909 - Math – Set Theory

Let U={a,b,c,d,e,f,g},X={a,c,e,g},Y={a,b,c},U = \{a, b, c, d, e, f, g\}, X = \{a, c, e, g\}, Y = \{a, b, c\}, and $ Z = \{b, c, d, e, f\}

1.2.1 Find Y n Z

1.2.2 Find Y U Z

1.2.3 Find X – Y

1.2.4 Find X x Y

Solution.

1.2.1 Y n Z = {b, c}.

1.2.2 Y U Z = {a, b, c, d, e, f}.

1.2.3 X – Y = {e, g}.

1.2.4 X x Y = {(a, a), (a, b), (a, c), (c, a), (c, b), (c, c), (e, a), (e, b), (e, c), (g, a), (g, b), (g, c)}.

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