Question

please just answer question 1 and all parts thanks

Let the universal be R the set of real numbers. 1. Find: a. AUB c. (AUB) nc For sets A, B, and C, prove (A-B)-(B-C)=A-B LC R:

Answer 1

A= { -2, - 1, 0 , 1 , 2 , 3, 4, 5 }
B = { 1,2,3,4,5,6}
C = {4,5,6,7,8,9,10,11,12}


a) A U B = {-2, - 1, 0 , 1 , 2 , 3, 4, 5, 6 } => { x $\varepsilon$ R | -3 < x < 7}

b) B $\cap$ C = {4, 5, 6 } => { x $\varepsilon$ R | 4 <= x <= 6}

c) ( A U B )  $\cap$ C => {4, 5, 6 } => { x $\varepsilon$ R | 4 <= x <= 6}

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