If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 and B is the set of all integer solutions of inequality 2x+5<9 that are les than 10 by absolute value (and therefore, is also a subset of R), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.

Question

Mathematics

Alyson Gill

25 March, 21:54

If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 and B is the set of all integer solutions of inequality 2x+5<9 that are les than 10 by absolute value (and therefore, is also a subset of R), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.

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Joel Davenport · Answer 1

A=1, 2, 3, 4, 5, 6, 7, 8, 9

B = - 9, - 8, - 7, - 6, - 5, - 4, - 3, - 2, - 1, 0, 1

Union: - 9, - 8, - 7, - 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Intersection: 1