Answer to Question #91341 in Algebra for Ra

Question

Let A={x∈Z|x is a multiple of 5} and B= {x∈Z|x is a divisor of 20}.
Represent A,B and Aᶜ∩B by the listing method and in a venn diagram.

Answer 1

A = { . . . , -30, -25, -20, -15, -10, -5, 0, 5, 10, 15, 20, 25, 30, . . . }

B = { -20, -10, -5, -4, -2, -1, 1, 2, 4, 5, 10, 20 }

A^c = { . . . , -16, -14, -13, -12, -11, -9, -8, -7, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, . . . }

A^c∩B = { -4, -2, -1, 1, 2, 4 }