6. Let A = {x EZ|x= 5a+2 for some integer a}, B = {y €Z|y= 10b – 3 for some integer b}, and C = {z EZ|z= 10c +7 for some integer c}. Prove or disprove each of the following statements. b. ВСА а. А С В Нс. В %3D С

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A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

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A: A=-100030001 and B=500030002

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Q: If E(X) = -2 and V(X) = 6 (i) E (5X – 2) = 5 E(X) – E(2) = (5 x (-2)) – 2 = -12 (ii) V (5X – 2) = 52…

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