Lesson 3 And 4 Discrete Maths 100% Correct
Mathematics homework help
(1) Write the following sets using the roster form:
(a) {x ∈ Z|10 ≤ x 2 < 100} (Careful, that is Z, not N!)
(b) {x ∈ N|x ≤ 4} (Remember that, in this text anyhow, 0 ∈ N.)
(2) Use set-builder notation to give a description of each set.
(a) {4,8,12}.
(b) {−2,0,2,4,6}.
(3) Let A = {1,2,3,5,6,7} and B = {2,4,6,8,9}. Find
(a) A ∩ B
(b) A ∪ B
(c) A − B
(d) B − A
(4) Draw Venn diagrams for A ∩ (B ∪ C) and (A ∩ B) ∪ (A ∩ C) to show that A ∩ (B ∪ C) =
(A ∩ B) ∪ (A ∩ C).
(5) Let A = {1,2,3,4} × {1,2,3}. List the elements of the set B = {(s,t) ∈ A|s ≥ t}.
(6) (bonus) Is the proposition Every element of the empty set has three toes true or false? Ex-
plain your answer! Hint: In symbols, the proposition i